Pith. sign in

Paper Citation Record · LEDGER

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete

As of 15 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 0 inbound Pith citation observations for arXiv:1908.09400.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.09400 v2

Coverage vector

measured 69 of 69 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:22:45.509447Z

measured 69 of 69 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

69 of 69 outbound references displayed

  • verified exact10
  • verified fuzzy45
  • unresolved13
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 56b32d75-153b-4b44-9ec2-940de125684a · outbound

This paper cites The Art Gallery Problem is $\exists \mathbb{R}$-complete.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete The Art Gallery Problem is $\exists \mathbb{R}$-complete

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T11:22:45.154900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:22:45.154900Z digest=sha256:40747a8939ce57cfd1878f8ad51046bc6523cdae2ae64727f840d6d1769d6212

Observation 053dd948-48b3-4d04-936f-63d16d0bd432 · outbound

This paper cites Adiprasito, Arnau Padrol, and Louis Theran.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Adiprasito, Arnau Padrol, and Louis Theran

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.853488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.161997Z digest=sha256:52f7a5c8172008a67af4e7a696be91c0f1f6b0dc17fc0adeecfa10a2e40ce878

Observation af99af8e-9711-43d1-94f4-b876cf956d68 · outbound

This paper cites Felzenszwalb, Ross B.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Felzenszwalb, Ross B

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.838149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.167578Z digest=sha256:c3442c93a8f1634a12f4a175f95590e6eaa61093f16064b8e11c0d77fe56bb6b

Observation a5fb4d81-fd11-43ad-8c01-060deba0dc9b · outbound

This paper cites Algorithms in Real Algebraic Geometry , 2nd edition.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Algorithms in Real Algebraic Geometry , 2nd edition

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.822570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.173543Z digest=sha256:387a4ab2df0d1cd8ebd62747e38771b0715e3549406fed19ea2a034be2ca3f9e

Observation 1b39516e-4b6a-4a72-9579-6aa15e606257 · outbound

This paper cites The complexity of computing the minimum rank of a sign pattern matrix.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete The complexity of computing the minimum rank of a sign pattern matrix

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T11:22:45.180053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:22:45.180053Z digest=sha256:7548a22fe5eaa947d9105396163d7c706705719b2bf39ccf000a4bb25c5fde98

Observation 99c229f0-2cfe-497b-ad59-c91ae2a13860 · outbound

This paper cites Some provably hard crossing number problems.Discrete Comput.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Some provably hard crossing number problems.Discrete Comput

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.807643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.185754Z digest=sha256:8902a945ac093fbec13eeecc24e3744386b45bc2f3d70d780264e54054f94dfe

Observation 9a2722b4-f38c-4825-bca0-c67edb1c5f45 · outbound

This paper cites A catalog of∃R-complete decision problems about Nash equilibria in multi-player games.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete A catalog of∃R-complete decision problems about Nash equilibria in multi-player games

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.792097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.192226Z digest=sha256:0c1d5683c249d70f273cfc5f9f83734747e831e6cf0fd7f52c73a8876d1b1b01

Observation 7114f4e0-4119-4754-a0b7-b39355fd1fff · outbound

This paper cites ∃R-complete decision problems about symmetric Nash equilibria in symmetric multi-player games.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete ∃R-complete decision problems about symmetric Nash equilibria in symmetric multi-player games

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.777155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.197426Z digest=sha256:9a495278973f1a4153caee15f9059d0b973270b5216b25d4fdf2ffb3f5fa432c

Observation 260170a4-925e-415c-8bec-74fa964c2a4c · outbound

This paper cites an unresolved cited work.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:46.760521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.202218Z digest=sha256:ef27079ae97f7c9bce488e2ac62ca7b2bc20c18053188ec5220a84dfb849b756

Observation fe4e1cfb-0047-4fe5-9b17-460f334df663 · outbound

This paper cites Complexity and Real Computation.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Complexity and Real Computation

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.745761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.206979Z digest=sha256:678e810605581fbf617f332908bc24863f7bbbbeaa5c9208c7642017e93a9a09

Observation c35a5dd0-3a8e-4014-b631-bf1c7aebf9bb · outbound

This paper cites Computational Synthetic Geometry.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Computational Synthetic Geometry

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.730915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.211888Z digest=sha256:9897e4ff75eee95511244d8bd3a18711323e6e8c4e989a7d5cb8c184ac08839c

Observation 6d663e28-649e-4c9f-bd47-15a369d9d094 · outbound

This paper cites Properties of arrangement graphs.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Properties of arrangement graphs

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.699491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.222433Z digest=sha256:d271db0a8ef38b6f5cadacf3cb9829e3bab570eb468f00b8c057c4ab6b97c205

Observation b051fdda-070c-4631-9295-33a11add00c6 · outbound

This paper cites Counting complexity classes for numeric computations ii: Algebraic and semialgebraic sets.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Counting complexity classes for numeric computations ii: Algebraic and semialgebraic sets

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.683961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.227115Z digest=sha256:b19f1456efd81fae7d126b032cc243318c128a46eaa4aae3925ab3d75fef998b

Observation 1d5fb468-482b-4c31-8b0f-ea0bf0fafcbd · outbound

This paper cites Some algebraic and geometric computations in PSPACE.Proc.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Some algebraic and geometric computations in PSPACE.Proc

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.667826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.232020Z digest=sha256:5fcd2ae69bd9420cb196a466b8aeed14b0c9dfe1a9cb67d505bf7fb6f8ce789c

Observation 8a6fe21d-918b-4d85-892a-07933bb6dd37 · outbound

This paper cites Computational geometry column 62.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Computational geometry column 62

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.652498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.237032Z digest=sha256:5bf6009fa51d6e2aa8b7d54933e18c890aebbbe2d03863d0dcab3f426f70f960

Observation 06c19f76-13eb-4b23-92ed-ed2983d5831a · outbound

This paper cites Intersection Graphs of Rays and Grounded Segments.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Intersection Graphs of Rays and Grounded Segments

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:22:45.961190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.243470Z digest=sha256:8256ddb3efe6c419b1168d13c7d39561247bd6b90d43ef75dee842fd9ebcb314

Observation 4db67211-72a3-4e7c-b0b8-1ab18d6edd05 · outbound

This paper cites Recognition and Complexity of Point Visibility Graphs.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Recognition and Complexity of Point Visibility Graphs

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:22:45.939571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.248626Z digest=sha256:3dc4cbdc45d42abc8367adb66ee2e5aac1601888f31b796479b9689147843b51

Observation 711c809b-690a-42af-8eeb-a79772571675 · outbound

This paper cites The Complexity of Simultaneous Geometric Graph Embedding.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete The Complexity of Simultaneous Geometric Graph Embedding

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:22:45.917595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.253998Z digest=sha256:539ffdc79bd45cdb808c7910e721420baf6ce4de8651021fa4fb919f1149aeb9

Observation 7bd64327-60cb-4bc3-a9a2-a20f2fcc9ff8 · outbound

This paper cites Scott Carter.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Scott Carter

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.637161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.259648Z digest=sha256:3bcec6cd41df5db13b05f58aa3340bd8b68292699eebb9a8ac80f26799e24d91

Observation 5f3eb4fb-50ec-456f-b9c3-8e94cdd3faa0 · outbound

This paper cites The Complexity of Drawing Graphs on Few Lines and Few Planes.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete The Complexity of Drawing Graphs on Few Lines and Few Planes

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:22:45.895143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.264625Z digest=sha256:f06400248e873b68612953138e8baec9f9eefda8e5a7d0e22f264fd144520cc3

Observation 3df00fcb-5448-42db-aa09-df63aa3ad30d · outbound

This paper cites Algorithmic graph embeddings.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Algorithmic graph embeddings

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.621235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.270250Z digest=sha256:8ffb435c2da351b29714be05d92e078a5d4c281710280c4178f77958a941990a

Observation 33f0f355-93a3-4572-8a66-2d414fe6c21c · outbound

This paper cites Cohen and Uriel G.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Cohen and Uriel G

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.606157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.275657Z digest=sha256:e4b22d227b5b1533cce040cbfd689e73690b888001948fcf296e773738464f0b

Observation 5866d56d-98d2-4171-8df6-de2c30637dd9 · outbound

This paper cites Accelerated bend minimization.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Accelerated bend minimization

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.590756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.280603Z digest=sha256:9796cc81c17e8538ffeda6db1e2ca2fa8fa252d12e5c170e2c2e00b5fc31c8d8

Observation e410654d-a835-41b9-9887-018ca81e4ab6 · outbound

This paper cites A Universality Theorem for Nested Polytopes.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete A Universality Theorem for Nested Polytopes

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-14T11:22:45.285346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:22:45.285346Z digest=sha256:95ee9df06690abfdec7c7766e6f5c2e32d20a55d3500d620442b0e1deaf8cab4

Observation c0f66dc0-d9d4-43e6-a54a-e9bb93003a10 · outbound

This paper cites Dowker and Morwen B.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Dowker and Morwen B

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.575471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.290551Z digest=sha256:c4a42342948ca1828d0ee85517d18a296c948edec7c3635b1d6ef806f7b17850

Observation c2e25359-02cb-4be4-8264-8101e94246a8 · outbound

This paper cites an unresolved cited work.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Unresolved cited work

Reference 26

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:22:45.855850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.295450Z digest=sha256:1ed6357432d25918922f6fc2fd5380d83991b9ca6bbf73e51c00e376e0b76749

Observation 086206a3-c22e-4575-a4a7-98c62ddb7928 · outbound

This paper cites A note on minimum-segment drawings of planar graphs.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete A note on minimum-segment drawings of planar graphs

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.560498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.300527Z digest=sha256:a70f175c37452b559b169ea7e4519ad3d697a561226d85dac7ffa025cb92d830

Observation 1b673511-8f91-48a6-b35b-02a82fdcdfb2 · outbound

This paper cites an unresolved cited work.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:46.544758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.305279Z digest=sha256:ce63a0f62a12725e38453fc8134f7828bb746811eab9ad0124a9373861c0dfcc

Observation 1e1b1ef0-60f7-4fb8-a156-921f3ac338b5 · outbound

This paper cites Vazirani, and Sadra Yazdanbod.∃R-completness for decision version of multi-player (symmetric) Nash equilibria.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Vazirani, and Sadra Yazdanbod.∃R-completness for decision version of multi-player (symmetric) Nash equilibria

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.529529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.310381Z digest=sha256:61567ecf2d13c04d9dd91ab7623acd13734980b4979cae127841f421a5a2fa13

Observation 99d86263-aa0f-40f2-9801-8d0f600450d1 · outbound

This paper cites Nachlass.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Nachlass

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.513149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.315207Z digest=sha256:8720795dae01359ada1327ee9d6cca8cbd8ff02d56d0d11967dc9ff381e9516c

Observation 40f3a8c7-03d0-4a63-9517-5fa146e2c053 · outbound

This paper cites Nachlass.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Nachlass

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.497633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.320197Z digest=sha256:b609af42b06e6b1c99fb8c08cca6384e77611f903a0b14b0a963ff6a800d2aab

Observation f48591b1-a090-44d7-aef8-28325673de82 · outbound

This paper cites an unresolved cited work.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:46.482280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.325081Z digest=sha256:5cdd6465d14f6a3627321d8e90c3e5614eb6112e3d7f7cb7255976687cb46d19

Observation f82b92fb-8e29-476e-8377-eb55b5d0fb9f · outbound

This paper cites Goodman and Richard Pollack.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Goodman and Richard Pollack

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.465580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.329896Z digest=sha256:962c8d512bd762359d0cfea9f5329faf2ce8d899d360637b261613947ad03033

Observation e0d608fe-0216-4b86-b633-1407d3be9361 · outbound

This paper cites Goodman, Richard Pollack, and Bernd Sturmfels.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Goodman, Richard Pollack, and Bernd Sturmfels

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.450449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.334547Z digest=sha256:64ef039c40104e4587895345b4beb58c3365680602bc02146a3b67c8f2e90d1d

Observation 9390270a-0d6b-4d2c-aa34-894960ddb50f · outbound

This paper cites Goodman, Richard Pollack, and Bernd Sturmfels.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Goodman, Richard Pollack, and Bernd Sturmfels

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.434661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.340550Z digest=sha256:8b66441ade98697db960d1fe9c04e2ba65a2ca31877e3ace4cf0539d57bbd487

Observation 160e6bb1-cea8-4d23-aa6c-fa23a793f9fe · outbound

This paper cites Arrangements and Spreads.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Arrangements and Spreads

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.418866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.345196Z digest=sha256:dd99a5e40fd863ca907bc6b4adafb1fe3fe6ecbdb422f34cefbb20f95c14c90e

Observation 8146d0e3-902d-4aca-ba65-0af9114aaab0 · outbound

This paper cites Guibas and Jorge Stolfi.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Guibas and Jorge Stolfi

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.401911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.349720Z digest=sha256:ada371cd61fa61c41b0be97b419380992b0693efa9472a76b6d2709eb4936aec

Observation ab78f5ac-c3be-48d0-aa4c-d1ceb14b36e5 · outbound

This paper cites Satisfiability of cross product terms is complete for real nondeterministic polytime Blum-Shub-Smale machines.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Satisfiability of cross product terms is complete for real nondeterministic polytime Blum-Shub-Smale machines

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-14T11:22:45.354548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:22:45.354548Z digest=sha256:6decfd7337ed6a2b1bb15825bf861edb2ac1b28a32cd0a90ee2ab706597d4b8c

Observation c8078be9-bff3-40bd-b61c-c53cd7c567eb · outbound

This paper cites On the complexity of the planar slope number problem.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete On the complexity of the planar slope number problem

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.385842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.359898Z digest=sha256:4e6bbb2609cf6bef26741ef1ae33b67292a716c83bfa027aa7ebd3cfb1d9dd45

Observation 35743fd6-f36c-4d92-86fa-4f37598af13b · outbound

This paper cites an unresolved cited work.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:46.369841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.364736Z digest=sha256:3a59603e2481cede107cd5d24e6b7ecece23c5d425959d0328f94c708a9321f5

Observation 3df5523b-16d7-433d-b795-47c7f38bf1f8 · outbound

This paper cites Min-cost flow in unit-capacity planar graphs.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Min-cost flow in unit-capacity planar graphs

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.353200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.369941Z digest=sha256:44318d8c5cf13fddd1d49d3fd5dbae1cbc155207b9c09fcdc30d15a49a497436

Observation dae68b10-e8c0-4136-8bae-9316332bd10e · outbound

This paper cites Intersection graphs of segments.J.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Intersection graphs of segments.J

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.335854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.374933Z digest=sha256:6e7050ad96e65b7e755f40d23c1e5c9b34e6c85a4d3aa99906b866bc26f0d702

Observation 01effab4-b9ec-4026-9956-d09b1ec79e46 · outbound

This paper cites Mnev-Sturmfels universality for schemes.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Mnev-Sturmfels universality for schemes

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:22:45.755522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.380440Z digest=sha256:3c1b7f8b3f1c6136a1d83a1324aba5267503d6d43b152420b240dad324ee3b7e

Observation 1448c71a-e723-4dcb-9132-7184db219ac5 · outbound

This paper cites Die teilung der projektiven ebene durch gerade und pseudogerade.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Die teilung der projektiven ebene durch gerade und pseudogerade

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.320156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.385675Z digest=sha256:d9f40f463e2789ce05a2bcd6143fbcf270eed1bf63db1da28b791f4100889403

Observation f6aa601d-b646-448a-b5f4-91f47b2ab0f3 · outbound

This paper cites Intersection graphs of segments and $\exists\mathbb{R}$.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Intersection graphs of segments and $\exists\mathbb{R}$

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-14T11:22:45.390972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:22:45.390972Z digest=sha256:bd9bc16d36b25ac7161493f14d5845cb5d349be55a4936dabdab380c12500004

Observation 04a58e19-62bb-4773-8765-e95df23d22e4 · outbound

This paper cites Integer realizations of disk and segment graphs.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Integer realizations of disk and segment graphs

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:22:45.716289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.396321Z digest=sha256:f2ea0b52aa62ab5957ac4bf3df925d8d2c0afbf084b9ca0948c9439ae8823112

Observation 74ef08a8-ceda-4764-a4ed-33182f1c4f46 · outbound

This paper cites an unresolved cited work.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:46.302795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.401826Z digest=sha256:69f2daa181791f4b50dd2042a40e66e82702e2b5c0ae6e1800739fe5f05687a8

Observation a4bdced8-9fbc-4be9-97f5-93213616e9b3 · outbound

This paper cites an unresolved cited work.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:46.285004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.406918Z digest=sha256:93c3f7a367a42106902ccce4fd1b0bce9e44dadbb0e99e51048740bdde0c2d81

Observation d02322ee-e234-4ef2-9552-1e4d022ac75d · outbound

This paper cites Muller and Franco P.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Muller and Franco P

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.268145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.411835Z digest=sha256:c6361ca7052931a7fcc5d2cfa1b43ffebd969e8f318c322e85bc78a1146909ad

Observation 9009c062-8fa9-456d-adf8-940eee3c4ad0 · outbound

This paper cites Delaunay triangulations with disconnected realization spaces.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Delaunay triangulations with disconnected realization spaces

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.252805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.417051Z digest=sha256:844dbc5686ecfdbf2c837392ed3cb880887f9038a91b54ca25a79fffb7888da3

Observation 7bd46bfd-6d8e-47c5-aa87-f231c5842fdb · outbound

This paper cites Recognising multidimensional euclidean preferences.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Recognising multidimensional euclidean preferences

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.237108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.421993Z digest=sha256:241d15f65862dd4fb8aaf10693078d6441470e19c18d7a479a613010fc64c77c

Observation 3d8edc67-7c4a-4f2d-8490-3a1f621e4c8b · outbound

This paper cites On the computational complexity and geometry of the first-order theory of the reals, Part I.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete On the computational complexity and geometry of the first-order theory of the reals, Part I

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.221229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.426857Z digest=sha256:158cd009fc16c76957d20fb4769cbedb62da44992b339fc6a2c7433e1daca4a9

Observation 5946a929-c324-4030-a1c0-ff012d3d0943 · outbound

This paper cites Mnëv’s universality theorem revisited.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Mnëv’s universality theorem revisited

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.205216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.432248Z digest=sha256:b0a65d6da848002e4dac117a49f72a8cb473abb419c597b75bbee7f729fb94a0

Observation b17006d5-42df-430a-996f-4c0529f18d99 · outbound

This paper cites Realization spaces of polytopes.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Realization spaces of polytopes

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.189013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.437388Z digest=sha256:bd9ad40996c7a146c0f0980d58e7e951cdefab946af753b1e8550e2ab70ea2e3

Observation 153026eb-96da-444f-8178-a803f432a5c3 · outbound

This paper cites Kombinatorische Realisierbarkeitskriterien für orientierte Matroide.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Kombinatorische Realisierbarkeitskriterien für orientierte Matroide

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.172876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.442586Z digest=sha256:d5eb2d896963d546a7011698db7e52d81400cbb6a47a47d2c35842ca50660549

Observation 96bb5b07-b4a2-4100-b377-74a8bbe15986 · outbound

This paper cites Teilungen der Ebene durch Geraden oder topologische Geraden.Math.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Teilungen der Ebene durch Geraden oder topologische Geraden.Math

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.156173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.447562Z digest=sha256:d7f5b4bfffdb2e76d0680d402bdb7b04af2e5e3150e4a39b8b267e5ca86f0aa3

Observation 7035659d-bdf2-4815-9dc1-adb7128321dd · outbound

This paper cites Complexity of some geometric and topological problems.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Complexity of some geometric and topological problems

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.139458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.453537Z digest=sha256:3288e55b79d69bf7f9725aac3122e1f53a2413540652eb820ca64e5504c8caaa

Observation 6ee5ae38-f3b2-4938-8b42-87ded05af3fc · outbound

This paper cites Realizability of graphs and linkages.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Realizability of graphs and linkages

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.123864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.458838Z digest=sha256:21ba6e16c89dba33e370180a2361b55b20f08334681910a5270b6467a8372b01

Observation e6920614-97f3-4454-9037-7436c874b45d · outbound

This paper cites Fixed points, Nash equilibria, and the existential theory of the reals.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Fixed points, Nash equilibria, and the existential theory of the reals

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.107441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.464065Z digest=sha256:9dd35df603aae75dc835e6fdf6dc1ff3f225d79b0f2f951befa5eb9428d42483

Observation ab377bd8-01cd-4ca4-a4c0-2986120ea1a0 · outbound

This paper cites The Complexity of Tensor Rank.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete The Complexity of Tensor Rank

Reference 60

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:22:45.693963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.469286Z digest=sha256:4e654b0a60f6ffc7150d0d3838feac9a933323ede448be7a40755aebaaad33b1

Observation d93db723-9a68-4c76-9bd5-28af69b5d7bf · outbound

This paper cites The nonnegative rank of a matrix: Hard problems, easy solutions.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete The nonnegative rank of a matrix: Hard problems, easy solutions

Reference 61

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:22:45.671266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.474418Z digest=sha256:ab8704d96aa11b56ea7aae58fbaf1c2636f2ce140c450ead4b0ac5ac0ad46517

Observation 59bbb66b-6405-499a-a3c2-8eab8ecf6421 · outbound

This paper cites an unresolved cited work.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:46.090791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.479650Z digest=sha256:4abf80ce89b77ed8c4ea5e6fc6224b093f1f41ae1d1340d7f0b520c3469f6c7c

Observation 97100d5b-3416-438d-aa2e-76acf768a201 · outbound

This paper cites Geometrie der Lage.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Geometrie der Lage

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.073923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.484618Z digest=sha256:669f73fa0ed840ba28a8913312d3bba92ce9e26f1568cd6e79adb7f785b4102a

Observation 3f7520cc-bd66-404e-87a3-5b70288f9f54 · outbound

This paper cites On knots I.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete On knots I

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.058111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.489785Z digest=sha256:3ff97274b55ec1f9f43ca97a3df1af39d3b9d07d60620d4352770fbae8c3bad6

Observation 31f45b96-8ea7-4bd4-99ba-bda6e7db81c8 · outbound

This paper cites On embedding a graph in the grid with the minimum numberof bends.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete On embedding a graph in the grid with the minimum numberof bends

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.041680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.494548Z digest=sha256:69612d7448f5c363def8a38c85a8b066a3f59603af6f441b3311c96dbd71f38e

Observation f44b723d-b073-493b-b87e-6cf88b568c18 · outbound

This paper cites an unresolved cited work.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:46.024477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.499604Z digest=sha256:7d2518d9051433668e89df5ae0ee03cc723e497ea691e0dce7e99a344d4d5615

Observation 8211892b-64f8-41dc-864f-990e8194bf36 · outbound

This paper cites Murphy’s law in algebraic geometry: Badly-behaved deformation spaces.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Murphy’s law in algebraic geometry: Badly-behaved deformation spaces

Reference 67

Resolution
verified exact
raw_fallback, observed 2026-08-14T11:22:45.647779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.504645Z digest=sha256:fd9148f1c35ad0f8585c4b3c08ca889ae3844fc5197eb9e8dfad75a516ee51cd

Observation b17d3451-5766-439d-81f4-072a0ec79e62 · outbound

This paper cites Edge-based data structures for solid modeling in curved-surface environments.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Edge-based data structures for solid modeling in curved-surface environments

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:46.008880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.509447Z digest=sha256:45e464ef8e2c8f5cdc50a042bc534a7c33b4202bafc85ac844a862cd1799a820

Observation b11055ed-79d7-48f2-910f-fd4355f31f40 · outbound

This paper cites an unresolved cited work.

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete Unresolved cited work

Reference 1355

Resolution
parse uncertain
raw_fallback, observed 2026-08-14T11:22:46.715433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:22:45.217587Z digest=sha256:80914bbe1f26c14341c90a0996efa45e5f4dda1c419b17bb9f75616e77de4aa9

Pith citing papers

No inbound Pith citation observations are available.