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Paper Citation Record · LEDGER

Twist maps and codimension-1 spun embeddings

As of 22 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2509.06168.

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

pith.paper-citation-record.v1
2509.06168 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:45:04.671512Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

28 of 28 outbound references displayed

  • verified exact2
  • verified fuzzy14
  • unresolved12
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ed6b7447-cde1-4c80-8d72-fc2cb220dcba · outbound

This paper cites Aceto, M.

Twist maps and codimension-1 spun embeddings Aceto, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:05.136928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 200125b0-7744-4829-839b-d9ee3cf0a7dc · outbound

This paper cites Alexander,A lemma on systems of knotted curves, Proc.

Twist maps and codimension-1 spun embeddings Alexander,A lemma on systems of knotted curves, Proc

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:05.125353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.561874Z digest=sha256:fd5921b6965ef60dfa79b18f0dbef2a5a452ca2f6b605958feee0fd48dc8df37

Observation 547b0a05-76e4-484f-a9aa-c42207c85ac3 · outbound

This paper cites Baader, F.

Twist maps and codimension-1 spun embeddings Baader, F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:05.113970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.566244Z digest=sha256:2f8f3f6100d03b32afad19ab91cd22fe1beca14be8f5a3227c19a1bf1167a115

Observation 62301cdb-0c34-4491-940a-12c5a83a0220 · outbound

This paper cites Brendle, N.

Twist maps and codimension-1 spun embeddings Brendle, N

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:05.101814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.570765Z digest=sha256:92dcefa133972eef495514f90ec1f9adc52a347cef3ab11d541b3007da005bb9

Observation 57391a7c-9b3e-4d5e-95e6-a087c63ed8ca · outbound

This paper cites On the automorphism groups of hyperbolic manifolds.

Twist maps and codimension-1 spun embeddings On the automorphism groups of hyperbolic manifolds

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T16:45:04.575984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:45:04.575984Z digest=sha256:77093545faed19cf060c50b35692e0408760f73f95da46d84412507767609aae

Observation 89ea7732-7aa0-472d-8164-087c54683ae4 · outbound

This paper cites Cochran,Embedding4-manifolds inS 5, Topology, vol.

Twist maps and codimension-1 spun embeddings Cochran,Embedding4-manifolds inS 5, Topology, vol

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:05.089813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.580885Z digest=sha256:e3b5b118525bd111295c90da4638e4641c8a11e9b8afb9d969bdbd0915310645

Observation b965fb6b-f823-408d-ba00-6ac4fec13bc2 · outbound

This paper cites an unresolved cited work.

Twist maps and codimension-1 spun embeddings Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:45:05.077685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.585530Z digest=sha256:8c6c37b96bac5a892530cac690d9f0641f64eab36c9814d37c285f2f0e8d5a32

Observation 09b33ae4-8daf-4d96-a46e-aeaffc0544e1 · outbound

This paper cites Lectures on open book decompositions and contact structures.

Twist maps and codimension-1 spun embeddings Lectures on open book decompositions and contact structures

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T16:45:04.589701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:45:04.589701Z digest=sha256:f722f3d2567d9cdc121b2fb3bd4f369e157747e3742d956e78742553feaab8de

Observation 5a6f2b2c-fdeb-45c2-9c88-4f7ead22cb94 · outbound

This paper cites an unresolved cited work.

Twist maps and codimension-1 spun embeddings Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:45:05.064496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.593686Z digest=sha256:9bf8f4dc6b3bd5565ae5248e82539637499e80a025fbe554003a5c84412d4e3a

Observation 2bf88e43-18bf-4e70-90d6-31f4f6d22a6f · outbound

This paper cites Ghiggini, P.

Twist maps and codimension-1 spun embeddings Ghiggini, P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:05.050032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.597331Z digest=sha256:de4af3ed1c38e63e0c086ea44213f519496abdd6b3f3b19ff39c6a347e084c8a

Observation 28b248b2-7ef0-4276-a917-4f53a7cdc5aa · outbound

This paper cites an unresolved cited work.

Twist maps and codimension-1 spun embeddings Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:45:05.034141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.601072Z digest=sha256:33982ade87244a89a821efe48dc7a8b232f6d9bb7e2c9bfb4f61472e5efccd3e

Observation cca88736-eac4-4f2d-9883-c7c0453e6286 · outbound

This paper cites Hatcher, N.

Twist maps and codimension-1 spun embeddings Hatcher, N

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:05.020587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.605224Z digest=sha256:c4cd073d09627c8ac7a0af2f5345e2ea568c7c1dd6a04a91dbfeb9284ea74042

Observation 52e49139-d09f-4ec3-9551-e8547d06b232 · outbound

This paper cites an unresolved cited work.

Twist maps and codimension-1 spun embeddings Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:45:05.006276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.609206Z digest=sha256:5643787b1a8d0709f8b394fee9bb5e344e19ea0db7df83f16e10d760299fabd8

Observation f1393e00-94e9-464b-b17e-030f4226be38 · outbound

This paper cites Handle decompositions and stabilizations of open books.

Twist maps and codimension-1 spun embeddings Handle decompositions and stabilizations of open books

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:45:04.825977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.613009Z digest=sha256:b6d9a127e847bc34ba23ab25aea8faa184b36da8a0d5c81235f32f9e547ff81a

Observation d344272f-ec85-4fe8-98c7-eb42f5f01127 · outbound

This paper cites Simplicial volume of open books in dimension 4.

Twist maps and codimension-1 spun embeddings Simplicial volume of open books in dimension 4

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-15T16:45:04.616991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:45:04.616991Z digest=sha256:f29219b1bffa0ab718e214e09d4b2e4cea4472f53a85b9b49f859254e5b6a6cd

Observation 8cba9989-9328-48d8-a9c2-12ed0ec9cd88 · outbound

This paper cites Kegel, F.

Twist maps and codimension-1 spun embeddings Kegel, F

Reference 16

Resolution
verified exact
raw_fallback, observed 2026-08-15T16:45:04.793541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.621580Z digest=sha256:b3b2aed8cdd43bb1b0412c667b4352b14fa58689c92d6ec6db787a20375e4d8e

Observation 1cdf4219-f945-4f36-9625-43cd838581b0 · outbound

This paper cites Laudenbach,Sur les 2-spheres dune variete de dimension 3, Ann.

Twist maps and codimension-1 spun embeddings Laudenbach,Sur les 2-spheres dune variete de dimension 3, Ann

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:04.993526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.625494Z digest=sha256:249085b6587f24108106bfadf24f9b99f6d456a51ebeee7be3ec81947b91c1f0

Observation 4a652ed5-fb31-4b83-8328-7c0bed62c517 · outbound

This paper cites Laudenbach,Topologie de la dimension trois: homotopie et isotopie, Societe Mathematique de France, Paris, 1974.

Twist maps and codimension-1 spun embeddings Laudenbach,Topologie de la dimension trois: homotopie et isotopie, Societe Mathematique de France, Paris, 1974

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:04.981697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.629511Z digest=sha256:68fba4310b8bed749febaeab551f1010feb667b8f4111ebbf39cfe77ebe7e100

Observation 202cd1e5-ebda-4780-ac1e-1f250ed0fb99 · outbound

This paper cites Surfaces in 4-manifolds and extendible mapping classes.

Twist maps and codimension-1 spun embeddings Surfaces in 4-manifolds and extendible mapping classes

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-15T16:45:04.633192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:45:04.633192Z digest=sha256:aede108052aa5d0db44dc682dee6889f8e9c25ac037cdd21902871deb47baa7f

Observation 008e3db6-251b-446e-b278-ee35143bb332 · outbound

This paper cites Lawson, Open book decomposition for odd dimensional manifolds,Topology, vol 17, (1979), 189–192.

Twist maps and codimension-1 spun embeddings Lawson, Open book decomposition for odd dimensional manifolds,Topology, vol 17, (1979), 189–192

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:04.967562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.638026Z digest=sha256:29226779572f3713700cf5eb931e3f0a79bd6be16d5d75d2a7f69b411076cb9b

Observation 1bbc3724-15e5-4238-8eee-ffb5e974305f · outbound

This paper cites an unresolved cited work.

Twist maps and codimension-1 spun embeddings Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:45:04.955757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.642482Z digest=sha256:66106282a4c408fa8fec541d3e25d3e9f4b42fe7a2e92a44b9704872be5d46af

Observation f0ee8547-9944-451e-961f-14b852f19ce3 · outbound

This paper cites (2016) 2:69–119.

Twist maps and codimension-1 spun embeddings (2016) 2:69–119

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:04.942839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.646783Z digest=sha256:092ee4ed5fff3132ded41b27b3413c8ab31ec308d8f3ef8aca175dc4d12eaa0d

Observation 19ef7c55-fae5-4dad-9225-233f5f585b7b · outbound

This paper cites Onaran,Planar open book decompositions of3-manifolds, Rocky Mountain Journal of Math- ematics, 2014;4(5): 1621-1630.

Twist maps and codimension-1 spun embeddings Onaran,Planar open book decompositions of3-manifolds, Rocky Mountain Journal of Math- ematics, 2014;4(5): 1621-1630

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:04.930521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.650606Z digest=sha256:43a297b22ff4ca6a29e7aae829a276111174637ee2fcc5d3a42c31a7bcf65af9

Observation a38b4df1-2086-4753-b958-b83aee49b8e1 · outbound

This paper cites an unresolved cited work.

Twist maps and codimension-1 spun embeddings Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:45:04.917848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.654364Z digest=sha256:3127d0e60d3dcabd0ea1e2e03036a351cff1b656628245eea716873df0fe7540

Observation cbaafe35-eca6-46d5-b7f3-35de28767a6b · outbound

This paper cites an unresolved cited work.

Twist maps and codimension-1 spun embeddings Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:45:04.905532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.658847Z digest=sha256:27ad76d0889757210de9c760f6a4f5b20bca75c503d2609239c480e05a4a0ec1

Observation 1c46c57d-57e7-4c18-8c60-6feab20e63b3 · outbound

This paper cites Saha,On open book embedding of contact manifolds in the standard contact sphere.

Twist maps and codimension-1 spun embeddings Saha,On open book embedding of contact manifolds in the standard contact sphere

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:04.892778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.662518Z digest=sha256:95cf14214c4d1c3bf470d513ec1853996719117f174fb08a0bff1c0a3638ab71

Observation 25574162-677f-4155-8d98-535b8292e818 · outbound

This paper cites Sch¨ onenberger,Planar open books and symplectic fillings, PhD.

Twist maps and codimension-1 spun embeddings Sch¨ onenberger,Planar open books and symplectic fillings, PhD

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:45:04.880326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.666876Z digest=sha256:2de1b1543c9c0ddcfd1452c953c82495cae3c393ac559b128ceaa3a3e5d02a2d

Observation c06a8f0d-faca-457a-b269-37217f7600f4 · outbound

This paper cites an unresolved cited work.

Twist maps and codimension-1 spun embeddings Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:45:04.865732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:45:04.671512Z digest=sha256:bb315df7987d5241f047f5c934e20f30e39aaabc2966471bcd34940f7b5bd0a8

Pith citing papers

No inbound Pith citation observations are available.