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Paper Citation Record · LEDGER

An Octanomial Model for Cubic Surfaces

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.06106.

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

pith.paper-citation-record.v1
1908.06106 v3

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:06:24.321517Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

21 of 21 outbound references displayed

  • verified exact3
  • verified fuzzy13
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ccb4113-a24a-4e67-be83-5d008ee8f6e4 · outbound

This paper cites Ardila, V.

An Octanomial Model for Cubic Surfaces Ardila, V

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.658255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3f50b9d9-23a8-4588-985b-2cb0edc6aeeb · outbound

This paper cites Bosma, J.

An Octanomial Model for Cubic Surfaces Bosma, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.645258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8ae9f034-ae63-4cc2-8a6d-2d3617e29fd9 · outbound

This paper cites Bryant and M.

An Octanomial Model for Cubic Surfaces Bryant and M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.630812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation dda490f7-c74c-4cf2-aa81-e0aed1aa6da0 · outbound

This paper cites Colombo, B.

An Octanomial Model for Cubic Surfaces Colombo, B

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.616830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9edd885b-0764-405d-8a90-fa19dce5e83d · outbound

This paper cites Anticanonical tropical cubic del Pezzos contain exactly 27 lines.

An Octanomial Model for Cubic Surfaces Anticanonical tropical cubic del Pezzos contain exactly 27 lines

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:06:24.404859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:06:24.245023Z digest=sha256:024740e14990d8498bebb9aa0b4ca97ea89aef6c99d7f9aaf25b2e4500d5e468

Observation a5183abe-e16e-419b-83b0-d9322a0a93cb · outbound

This paper cites an unresolved cited work.

An Octanomial Model for Cubic Surfaces Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:06:24.602704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 34b886ca-27b3-44c5-9f41-f2ca13f32912 · outbound

This paper cites Computing zero-dimensional tropical varieties via projections.

An Octanomial Model for Cubic Surfaces Computing zero-dimensional tropical varieties via projections

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:06:24.383813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:06:24.255710Z digest=sha256:b2102159cab4ec08adaf4c8a7c6e0616871fcea84824ec1951e33029f6f77ee1

Observation fe9fc91b-acc5-41a3-bb67-3ddfe8ab0c7b · outbound

This paper cites an unresolved cited work.

An Octanomial Model for Cubic Surfaces Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:06:24.588877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:06:24.260893Z digest=sha256:f1e66465c0213ee7e004ebfdb6d72f4d949b3c695693fe5fd47edd1b25d872dc

Observation 15f698b2-f9dd-4516-b948-67ed68b029a4 · outbound

This paper cites Hacking, S.

An Octanomial Model for Cubic Surfaces Hacking, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.575517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a3f03363-7206-4e2e-b45b-5ad74da29e22 · outbound

This paper cites Inoue, and K.

An Octanomial Model for Cubic Surfaces Inoue, and K

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.561909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1f9061b2-bdf1-407a-90a7-acfeb3d7ee72 · outbound

This paper cites Itenberg, L.

An Octanomial Model for Cubic Surfaces Itenberg, L

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.547462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7d460033-0bd7-49b3-b4be-9f412c88f4ad · outbound

This paper cites The Schl\"afli Fan.

An Octanomial Model for Cubic Surfaces The Schl\"afli Fan

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:06:24.361562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f2730624-0261-432c-9dc0-c65d70f47aec · outbound

This paper cites Maclagan and B.

An Octanomial Model for Cubic Surfaces Maclagan and B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.533697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:06:24.284323Z digest=sha256:8c8e91284fcc44da2f5f53550f2243f54ebdd5c68fb1040bcbc462ee550737d6

Observation 05d50686-8bc7-4251-bf86-1839009e7836 · outbound

This paper cites Mikhalkin and J.

An Octanomial Model for Cubic Surfaces Mikhalkin and J

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 14e0562e-cb9c-4d51-8831-5b5ebfc58a81 · outbound

This paper cites an unresolved cited work.

An Octanomial Model for Cubic Surfaces Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:06:24.505602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:06:24.293178Z digest=sha256:6f47de0d8d3a8727163eb1de9ad3bb7d54b766cfa445ad6064fda3e3621edce7

Observation 50cb6b68-5875-4b58-9adc-e58d7d241417 · outbound

This paper cites an unresolved cited work.

An Octanomial Model for Cubic Surfaces Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:06:24.492195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:06:24.297558Z digest=sha256:65bafc9c51d7204f43113bda62a8280bae7c284a919e17df282eeb1b88705ce2

Observation 9f25ef7b-525b-4656-be65-0de129697c40 · outbound

This paper cites Ranestad, B.

An Octanomial Model for Cubic Surfaces Ranestad, B

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.477067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:06:24.302065Z digest=sha256:ed39d406490bbaadbd5faa7c653e5cd6e5f3a35e82038ebe3f298022c30b8898

Observation c594ff40-07d0-46df-a473-940063e1813c · outbound

This paper cites an unresolved cited work.

An Octanomial Model for Cubic Surfaces Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:06:24.463203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:06:24.306753Z digest=sha256:35eba431afeb3ba8a9e6bbd26ad87832ebf2e5c7061ed9d242f521cab1f95585

Observation 79c11b60-8192-410e-a7e2-4914659697a0 · outbound

This paper cites Shaw: A tropical intersection product in matroidal fans , SIAM Journal on Discrete Mathematics 27 (2013) 459–491.

An Octanomial Model for Cubic Surfaces Shaw: A tropical intersection product in matroidal fans , SIAM Journal on Discrete Mathematics 27 (2013) 459–491

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.448417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:06:24.311358Z digest=sha256:4a85df09ad93453767bdaa96b8173b49f1781a57442ec32ba52ce58e05e4a426

Observation 246b5c84-b8e9-41bb-8191-13efe3cdf871 · outbound

This paper cites Sturmfels: Gr¨obner Bases and Convex Polytopes, American Mathematical So- ciety, University Lectures Series, No 8, Providence, Rhode Island, 1996.

An Octanomial Model for Cubic Surfaces Sturmfels: Gr¨obner Bases and Convex Polytopes, American Mathematical So- ciety, University Lectures Series, No 8, Providence, Rhode Island, 1996

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.433839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:06:24.317159Z digest=sha256:27c27b340bb7170e75ffdf695d52697f93d59daa926310b6ce83f8a3b6e587c3

Observation 782ba40b-87fa-45ec-8ad9-3bea7538c809 · outbound

This paper cites Usher and J.

An Octanomial Model for Cubic Surfaces Usher and J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:06:24.419677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Pith citing papers

No inbound Pith citation observations are available.