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Paper Citation Record · LEDGER

A simple proof of the $1$-dimensional flat chain conjecture

As of 13 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2411.15019.

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

pith.paper-citation-record.v1
2411.15019 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:47:39.593496Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 78c2ca16-98a9-419e-bf6c-35036d012d01 · outbound

This paper cites On the closability of differential operators.

A simple proof of the $1$-dimensional flat chain conjecture On the closability of differential operators

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-12T14:47:39.550926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:47:39.550926Z digest=sha256:dbe31648cdd9d8d47bd3ddda0f2c11a36ba962f70f2ac57c06a3d4bd09bca150

Observation 68b509fe-dfba-4e4d-87c5-af24c042a9a9 · outbound

This paper cites On the structure of flat chains with finite mass.

A simple proof of the $1$-dimensional flat chain conjecture On the structure of flat chains with finite mass

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-12T14:47:39.555920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:47:39.555920Z digest=sha256:580d6ada388662deb93dc68f8fd328d0367d8d7403aa705266d13eed3c9c00ba

Observation 91c1a137-6bdb-438c-a74e-51f1ab841d1c · outbound

This paper cites Currents in metric spaces.

A simple proof of the $1$-dimensional flat chain conjecture Currents in metric spaces

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-12T14:47:39.560641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:47:39.560641Z digest=sha256:db1e8438be692aa31293914d119702aa9b35593f5fce74ead795b62dd7347c2f

Observation 126a031c-cafc-4baf-87e1-f528edc1b16d · outbound

This paper cites The pullback equation for differential forms.

A simple proof of the $1$-dimensional flat chain conjecture The pullback equation for differential forms

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:47:39.758815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:47:39.565309Z digest=sha256:ac075d0af13122a2b992157332067b131cdce416701d003e4e4dbaf8acf03d0f

Observation 77f0c8a6-4da5-45f7-ac76-1fcdd7013a14 · outbound

This paper cites A refined Lusin type theorem for gradients.

A simple proof of the $1$-dimensional flat chain conjecture A refined Lusin type theorem for gradients

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:47:39.740351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:47:39.569427Z digest=sha256:3123ae6ea36ac647f1785e8e51d442445dd35e8e25bd1481b3c97e1ef0649c4d

Observation b04f6501-bc87-489c-8f7e-95c56d585b84 · outbound

This paper cites On the structure of A-free measures and applications.

A simple proof of the $1$-dimensional flat chain conjecture On the structure of A-free measures and applications

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T14:47:39.573418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:47:39.573418Z digest=sha256:972992c848f72707149fec6c5175aa41f489085da016f7e9bf6d7933098e545e

Observation 7aed7426-f1c0-47f7-8436-6b43e3425e50 · outbound

This paper cites Geometric measure theory.

A simple proof of the $1$-dimensional flat chain conjecture Geometric measure theory

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:47:39.723251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:47:39.578417Z digest=sha256:71b992554546074cd9daea213e61d613b01d52a2f4770ca0455227d5f96b2f8b

Observation 000d38e0-7af1-4817-be2f-cf3d698a2d15 · outbound

This paper cites Local currents in metric spaces.

A simple proof of the $1$-dimensional flat chain conjecture Local currents in metric spaces

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:47:39.707525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:47:39.584013Z digest=sha256:eea88679247f137746c62ac9e107f3009683d448b8feb6046ef9e57821a76eed

Observation bf3c7557-5c95-4ee6-8947-b0fa16407afd · outbound

This paper cites Lipschitz maps and nets in Euclidean space.

A simple proof of the $1$-dimensional flat chain conjecture Lipschitz maps and nets in Euclidean space

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:47:39.686727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:47:39.588311Z digest=sha256:8c0afdcca580299dda10fb74a48d32cd6e6e58b33134e7f8152a96195abe796e

Observation c17cc004-41ff-4dc4-acc8-898d56575ed0 · outbound

This paper cites Metric currents and Alberti representations.

A simple proof of the $1$-dimensional flat chain conjecture Metric currents and Alberti representations

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-12T14:47:39.593496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:47:39.593496Z digest=sha256:8838c69dccd1cfa08cd110d3ba0a18b72791fab597213c7961f2d98c1dd61b19

Pith citing papers

No inbound Pith citation observations are available.