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Paper Citation Record · LEDGER

Twist maps and codimension-1 spun embeddings

As of 18 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 2026-08-18T06:34:40.430872+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
  • metadata mismatch0

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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.566244Z digest=sha256:b555ccf365d7f8b3eae60dff7adfd7a67745f35973d64e047092b6772cbde2b4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.570765Z digest=sha256:c7d929306b97cba0ccbee43c01ac3b0eca27279525fe2b52923dafbcc688fbd1

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=sha256:428bc38f9c0fc03f83094a1d9405f36ea6cef70c3cc807e545b8fa72f37d7dbc

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.580885Z digest=sha256:3ec0d3b9972d6d9e0c8da6ef319e17d7714e458be97bbce18fcd359a88feffa5

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.585530Z digest=sha256:501332a0dd9c9feb938412bac2829c4182011ef1ea3a9fd00564353db41a7bc3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.593686Z digest=sha256:6195e69876d201162292260a03d16bf5acc39c59bc0e585699063410aaedadc9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.597331Z digest=sha256:56c1ee5338bcfe8cd54205b84f9593d428f6ad9e92066468e626cf2953b72ff0

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.601072Z digest=sha256:7d7a2ae45f7621d4a8a918638340844d25bc256b4a64355ec452af1dc4232621

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.605224Z digest=sha256:2a572c90e040dfa06286b9149079469472a79a06e1f7fb67b1a23d32ada8e3f9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.609206Z digest=sha256:dbd242076c27334b71bf9738e555cec780e929fa67f1f1bbb17a723d7cd0c11d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.613009Z digest=sha256:2ac7282711252ef0eba1f21fe988df527f3889f4335833dbff57ff3c992419c5

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:d71af3ee73c00da2f4a18fe28bc51b7449b69f00472fb20c4b940cc08d0c5a6b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.621580Z digest=sha256:ba4db9a041f6e9fc6429c475d0d9228af66eee9cdfcb07cb72c39473846efc6b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.625494Z digest=sha256:8575aa4787d0850aec30b5e03381ef75bfc126793d2d6990027e6b0cd35fb894

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.629511Z digest=sha256:f2fb709b9bdd47488341e11764d7fd89f65b3d5eddfea420a792709619cab0d8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.638026Z digest=sha256:b02ef5c7f1817ceb25a4cb0e68a73699636c3a56664f918965850aad2d486ac3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.642482Z digest=sha256:e82bf08b405e1360803158dfd0b326b9b8929bb2f5cc0201f4f2fcfbbaef17e0

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.646783Z digest=sha256:39064600c302dd1392fa3e55a4d0a2a0da6787a3a2c1d67a2f72aa2c2001d73e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.650606Z digest=sha256:2c7be332b17874cb07c7d9b30cb654a5b7811714478d1a75eed1b40eed4ab214

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.654364Z digest=sha256:2c6e4f341fb28d09aa49ebb36a4d4c6103e15d8fd2cb3d968f2d83816c76b347

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.658847Z digest=sha256:b1d687605545e44d2cea741bff2fbc01fed76356c74fd93481315337f08d0f5a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.662518Z digest=sha256:265adfcb70df87b481dc1ccc03fa80a42dd0db78c11d938a83a6f5d196e42551

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.666876Z digest=sha256:2756792be75efdad79e965186e9dbf3207577f4612ff39954cb13818afd0f207

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:45:04.671512Z digest=sha256:de1e56092e2ded0b74cf0cf6d798406252c82d5b37975802b01c45fa67c7dddc

Pith citing papers

No inbound Pith citation observations are available.