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Paper Citation Record · LEDGER

Framed bordism of Lagrangian homotopy spheres via generating functions

As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2606.02409.

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

pith.paper-citation-record.v1
2606.02409 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T11:26:13.499616Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

18 of 18 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2425a3a3-c565-469f-a36b-83c6713629f0 · outbound

This paper cites an unresolved cited work.

Framed bordism of Lagrangian homotopy spheres via generating functions Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:df8f1ee413a64c850fc35c79d7ecccc2fc0eb03874fff22e56aa3a2952e83e6c

Observation bb9bed6b-3000-4eb1-9d2a-5608dc37f787 · outbound

This paper cites Abouzaid, D.

Framed bordism of Lagrangian homotopy spheres via generating functions Abouzaid, D

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-02T01:56:27.619767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:19931b58f262ea605b259a35e677d38c9f3ebd93351d7d5699477ed857ee3637

Observation 055fe084-e7a7-46ef-a4f7-72b78de4f7cc · outbound

This paper cites 5, 949–1011.

Framed bordism of Lagrangian homotopy spheres via generating functions 5, 949–1011

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:36daca726e81391d0f5b985b137811a909be083e26a64837de93704b7e0b7d4b

Observation b94a16fe-c304-41c1-a881-6c3148f157a3 · outbound

This paper cites an unresolved cited work.

Framed bordism of Lagrangian homotopy spheres via generating functions Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:bdceea2595fdecdbfef52ad258694cdc5f3ae5e6e9a1bead621f788398685525

Observation d5367f6d-3a70-46a8-86b3-48550abb4365 · outbound

This paper cites an unresolved cited work.

Framed bordism of Lagrangian homotopy spheres via generating functions Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:477678d75cf909feaaf36cec4bbf1732e943a8df1727eaeda2af3168ea36a752

Observation f127ff62-ec78-48e8-ae59-9d55035c5337 · outbound

This paper cites 03, 375–397.

Framed bordism of Lagrangian homotopy spheres via generating functions 03, 375–397

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:0f486f5d90506ce3c5726ed1b74e0281969873e8c379dfb9dd52a71d3bcebdfc

Observation 005b046e-639e-4912-b008-7086b2b90da6 · outbound

This paper cites an unresolved cited work.

Framed bordism of Lagrangian homotopy spheres via generating functions Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:2137d6e3c71f92dddd6eacad337ca6da179cfd534dabd5d96930d04d5f78ce62

Observation f4e82b3c-9514-4afa-912c-5f83b2c9abba · outbound

This paper cites igusa’s theorem, Topology39(2000), no.

Framed bordism of Lagrangian homotopy spheres via generating functions igusa’s theorem, Topology39(2000), no

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:64603aa515a7e563f24f320165d71ba5d1be49e92c78d83316c4ddad36335e6f

Observation 8f5dd9c6-0ad3-4e09-9a82-b2f894dacda8 · outbound

This paper cites an unresolved cited work.

Framed bordism of Lagrangian homotopy spheres via generating functions Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:dc6dacd0df69fe4ac634877fa1a62d24fc3bbfc4dd71630f7a2a85e1e1e09d40

Observation 8dbe7c5c-2901-46a4-935b-90555182d045 · outbound

This paper cites an unresolved cited work.

Framed bordism of Lagrangian homotopy spheres via generating functions Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:ba7f7217fd75105daf2cc80985dd58c4381cb5af7155ca5bfa806623a59f8c25

Observation 450233ab-7784-4807-bca8-c8b8239c63c4 · outbound

This paper cites 3, 504–537.

Framed bordism of Lagrangian homotopy spheres via generating functions 3, 504–537

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:ce892852fe57020852ca074c475ff61a6bc45e6f27e5c5a446eea96f424e66d4

Observation b366581c-ca87-4eec-8532-1343712c7ba6 · outbound

This paper cites 2, 639–731.

Framed bordism of Lagrangian homotopy spheres via generating functions 2, 639–731

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:7a19e5b09e7e2a1158324365e2ce2257928931838d082df84858c1b6436d4593

Observation ff5eb2dc-a6dc-4994-bf30-7b3a9ef42ec3 · outbound

This paper cites Generating Functions in $\mathbb{R}^{2n}$ and the Hatcher-Waldhausen map.

Framed bordism of Lagrangian homotopy spheres via generating functions Generating Functions in $\mathbb{R}^{2n}$ and the Hatcher-Waldhausen map

Reference 13

Resolution
metadata mismatch
local_arxiv, observed 2026-07-02T01:56:27.630221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:87cfe402ad986bda64d935257a018373f5f1a2a8ec039bc055ea8173058c7014

Observation d8e377b7-2ef0-494a-86a2-194b64dc9a5e · outbound

This paper cites 1, 447–464.

Framed bordism of Lagrangian homotopy spheres via generating functions 1, 447–464

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:059989e49255fa48fb641d25b4924cee13a0f4c2be7baf0388baff05ffbf3ba7

Observation 2b4df06c-ac28-412b-8559-45d37be9025d · outbound

This paper cites Bordism of flow modules and exact Lagrangians.

Framed bordism of Lagrangian homotopy spheres via generating functions Bordism of flow modules and exact Lagrangians

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-07-02T01:56:27.625251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:115d5f1c228c4536df60feff9d2751384cf4acb8d960bac05023ffd4b6ac6261

Observation cca0c7e7-eb65-4172-b687-01e1d50d0d9b · outbound

This paper cites an unresolved cited work.

Framed bordism of Lagrangian homotopy spheres via generating functions Unresolved cited work

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-07-02T01:56:27.614826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:260f508d1fad6cb3f56c6da03f64b2ea71c53136f569b4c34a94303f7ab4266a

Observation 96f063d2-4673-4fbf-aec9-eb33eb90acb6 · outbound

This paper cites an unresolved cited work.

Framed bordism of Lagrangian homotopy spheres via generating functions Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:c520f90de309753518ba50016084a3b9cac8d27d394e7695dec4b8ff0092693d

Observation dd582710-016e-4266-a157-8c84e89bb8a2 · outbound

This paper cites an unresolved cited work.

Framed bordism of Lagrangian homotopy spheres via generating functions Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-28T11:26:13.499616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T11:26:13.499616Z digest=sha256:f5dca5a3ede1cc4b606533d3f8527cb402735d41c2d8ce19de698d9662e15b37

Pith citing papers

No inbound Pith citation observations are available.