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Paper Citation Record · LEDGER

Envelopes and the bar complex

As of 11 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2501.00122.

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

pith.paper-citation-record.v1
2501.00122 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:07:11.707319Z

measured 11 of 11 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

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 740f760e-dbe3-4a7b-a668-395291ea432a · outbound

This paper cites an unresolved cited work.

Envelopes and the bar complex Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:07:11.953316Z

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=arxiv_source observed=2026-08-10T23:07:11.646267Z digest=sha256:405408c83b88f8e9096ad350bc5d6076f26afce0376e27a19fe78da534917777

Observation e5f92f60-2d7a-4f2b-80e0-012d834635b8 · outbound

This paper cites Bar-Natan.

Envelopes and the bar complex Bar-Natan

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:07:11.933456Z

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=arxiv_source observed=2026-08-10T23:07:11.653068Z digest=sha256:1eb3f87a922bea69d98397df2dfa56f6f33a332273f0b09e52cbb5b811bf1d9d

Observation 650fb870-17b4-4939-a733-08bc3ab131d5 · outbound

This paper cites D G quotients of D G categories.

Envelopes and the bar complex D G quotients of D G categories

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:07:11.914866Z

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=arxiv_source observed=2026-08-10T23:07:11.658466Z digest=sha256:41136b9ee5fee850933670914d1ead0da1105ba4040995b7d9f0563a47a5eb84

Observation ceb6bd66-75b5-42bc-871b-a78bf994c507 · outbound

This paper cites Derived traces of S oergel categories.

Envelopes and the bar complex Derived traces of S oergel categories

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:07:11.895363Z

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=arxiv_source observed=2026-08-10T23:07:11.663706Z digest=sha256:aa1c2dca2adb351af0e1e58621ca3ec75712062fa83033b88017f118e9190bbe

Observation 7f2a859c-15a8-4098-ac08-af0f86cbeb84 · outbound

This paper cites Idempotents in triangulated monoidal categories.

Envelopes and the bar complex Idempotents in triangulated monoidal categories

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T23:07:11.669660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T23:07:11.669660Z digest=sha256:2d17c569d51fac58aa23183515a22fcbb804b91bb777a22dac3269cb35de9720

Observation 68da8d67-7cae-4530-9527-7d549ec3f986 · outbound

This paper cites Constructing categorical idempotents.

Envelopes and the bar complex Constructing categorical idempotents

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-10T23:07:11.676084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T23:07:11.676084Z digest=sha256:d1689b00ec7e733b0bc8630c4e29f76415e6ae2d7b38e75530425a6c78ec7fa2

Observation 48ff1d5a-edff-4d66-be0e-c17da0bfcc16 · outbound

This paper cites Deriving dg categories.

Envelopes and the bar complex Deriving dg categories

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:07:11.876564Z

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=arxiv_source observed=2026-08-10T23:07:11.683852Z digest=sha256:05b3a8d2cb23a2ca11347d0d4e918b64314f5d1577c94ac85e41fccb0d993d43

Observation 2eeca20a-0ffc-45b4-aea7-2b5897e9d58d · outbound

This paper cites international congress of mathematicians, vol. ii.

Envelopes and the bar complex international congress of mathematicians, vol. ii

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:07:11.858299Z

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=arxiv_source observed=2026-08-10T23:07:11.689779Z digest=sha256:3f20689ae9d1a1f1940b6f684a734ae97b8489eee335658da4948bcade8e231c

Observation 9f99b871-6363-4e32-af08-93f8c8d5183f · outbound

This paper cites A functor-valued invariant of tangles.

Envelopes and the bar complex A functor-valued invariant of tangles

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:07:11.838862Z

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=arxiv_source observed=2026-08-10T23:07:11.695049Z digest=sha256:c113a2bf9b092ef2c3835dae4392e9f9e0bd9653af3818a2a33396938c6434b7

Observation 84aefd3a-5f0a-432e-9725-eea7aa31024a · outbound

This paper cites an unresolved cited work.

Envelopes and the bar complex Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:07:11.817476Z

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=arxiv_source observed=2026-08-10T23:07:11.701178Z digest=sha256:b7413c7c0464dcbfd709dd981930ee5087049b0fa355509af959ca8384c0a254

Observation 3e9279f4-b8eb-4ad6-96ee-fd79d9fb21ef · outbound

This paper cites an unresolved cited work.

Envelopes and the bar complex Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:07:11.799935Z

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=arxiv_source observed=2026-08-10T23:07:11.707319Z digest=sha256:add2835b01f68f6133799db54c0478bd31a7b2a0e56963512a735809073831d6

Pith citing papers

No inbound Pith citation observations are available.