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Paper Citation Record · LEDGER

Novel distributional Laplacians and a Coulomb-gauge problem

As of 15 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2509.00282.

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

pith.paper-citation-record.v1
2509.00282 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:57:20.974772Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

12 of 12 outbound references displayed

  • verified exact5
  • verified fuzzy1
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c1c8beda-ed11-461b-bf79-39ab1d77335e · outbound

This paper cites Time-dependent fields of a current-carrying wire.

Novel distributional Laplacians and a Coulomb-gauge problem Time-dependent fields of a current-carrying wire

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:57:21.817973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.095070Z digest=sha256:388d0820346a0eef993fb8d49ac2d5010b6846c25a28d177dac5de8491bb5fe3

Observation f124ee21-23ec-4bd4-b206-828ff5db2894 · outbound

This paper cites Solutions of the Schr\"odinger equation, boundary condition at the origin, and theory of distributions.

Novel distributional Laplacians and a Coulomb-gauge problem Solutions of the Schr\"odinger equation, boundary condition at the origin, and theory of distributions

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:57:21.681944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.123350Z digest=sha256:64039bc2d209250bae66725dfa2a5713eaaf085ec3743586a9cecba5a6b58ebf

Observation e2fe24d7-7bfa-45fa-aa49-d9fc7e89cff3 · outbound

This paper cites an unresolved cited work.

Novel distributional Laplacians and a Coulomb-gauge problem Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:57:22.830341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.223488Z digest=sha256:8d95f073ff34486f8b23c11f359fafef259b9ce466baa08aca902021c4427975

Observation 26c80f3c-7697-49ad-8723-a3ab4a4e94b3 · outbound

This paper cites an unresolved cited work.

Novel distributional Laplacians and a Coulomb-gauge problem Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:57:22.632229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.318733Z digest=sha256:ca151654bece07fc7172323f82b0ef8721b0d636e78eb4e98f196a3cb0bcb9e5

Observation d4030f1e-4c05-4065-aa6b-1d3276b11d77 · outbound

This paper cites an unresolved cited work.

Novel distributional Laplacians and a Coulomb-gauge problem Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:57:22.497978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.382427Z digest=sha256:50882f4d15416e6ce399d428fab81a21fd15e74aae5899c238ecf2487a46b999

Observation c5b57365-f57e-4d1e-883e-f8279b6abaa6 · outbound

This paper cites an unresolved cited work.

Novel distributional Laplacians and a Coulomb-gauge problem Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:57:22.307099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.483744Z digest=sha256:64184ea52bd425180b8ee1e9433ebc9d44459fc6064113d0d958105f0cdbd4aa

Observation 1d787645-e28d-4cb2-9e00-e4f2fb7cfedc · outbound

This paper cites Potentials of a uniformly moving point charge in the Coulomb gauge.

Novel distributional Laplacians and a Coulomb-gauge problem Potentials of a uniformly moving point charge in the Coulomb gauge

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:57:21.533588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.570792Z digest=sha256:ace595dc96b97b6c87ae395a80c0c8535f97f1aec2506753ce933adb10cfd8ff

Observation 809275ea-3f23-4d31-ad94-548b02d5c110 · outbound

This paper cites From Lorenz to Coulomb and other explicit gauge transformations.

Novel distributional Laplacians and a Coulomb-gauge problem From Lorenz to Coulomb and other explicit gauge transformations

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:57:21.379636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.640851Z digest=sha256:f85d3684669557a3781f56442f149ca7d9fd6a7c705cfa296dc5007a70b6cd54

Observation 26965bda-b412-498c-be7c-13928bc9139a · outbound

This paper cites Potentials and fields of a charge set suddenly from rest into uniform motion.

Novel distributional Laplacians and a Coulomb-gauge problem Potentials and fields of a charge set suddenly from rest into uniform motion

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-08-05T13:57:21.278750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.720825Z digest=sha256:3519aaa546f43692751e0528d3b429cc1061e3b5606129705c996cab238bab8f

Observation 3c7bef94-340b-4a97-b1d9-5833611d4860 · outbound

This paper cites Note on the transformation from the Lorenz gauge to the Coulomb gauge.

Novel distributional Laplacians and a Coulomb-gauge problem Note on the transformation from the Lorenz gauge to the Coulomb gauge

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:57:21.130595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.783564Z digest=sha256:1bb2b5f3dc4afcb9de5c01d14b8932901727d19e57e5476c854b3c1a370b4eef

Observation bfee1b67-2652-49f8-b35c-bdd172d32b4e · outbound

This paper cites an unresolved cited work.

Novel distributional Laplacians and a Coulomb-gauge problem Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:57:22.148172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.880657Z digest=sha256:08a91857032065df11b32bbf95645024e6a1213335644790baa11c5bac8218c6

Observation 6f966868-3834-4e49-a26c-43b0ca974205 · outbound

This paper cites Bureau of Standards).

Novel distributional Laplacians and a Coulomb-gauge problem Bureau of Standards)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:57:21.942365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T13:57:20.974772Z digest=sha256:85406454bc331a3ccd56d3a52c2f6c39313e5c7ab4ecb762e5d312057b339ab9

Pith citing papers

No inbound Pith citation observations are available.