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Paper Citation Record · LEDGER

Geometry and field theory in multi-fractional spacetime

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1107.5041.

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

pith.paper-citation-record.v1
1107.5041 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-03T19:19:58.598372Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-03T19:28:52.248006Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
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  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation cec68f01-a483-422a-b51d-afc8dde3a123 · inbound

Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries cites this paper.

Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries Geometry and field theory in multi-fractional spacetime

Reference 71

Resolution
verified exact
local_arxiv, observed 2026-05-18T19:36:47.736815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-18T19:36:15.362301Z digest=sha256:d36e6ca87e502c9012e79273b4e360c88ecd7aa248a84d4cbe5a5eb860705606

Observation 916157d9-70ad-41a9-8a8a-b124a1d13270 · inbound

Noether charges and the first law of thermodynamics for multifractional Schwarzschild black hole in the q-derivative theory cites this paper.

Noether charges and the first law of thermodynamics for multifractional Schwarzschild black hole in the q-derivative theory Geometry and field theory in multi-fractional spacetime

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:41:25.295110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T14:39:41.085706Z digest=sha256:f422f0f08cf62416653b1bdf47a8ad91dea2594c60f781026ef4b839f5d0b4a9

Observation 63d8e023-9088-44a6-ab14-4c01ab977cf5 · inbound

Fractional-Dimension Gravity and the Milky Way Galaxy cites this paper.

Fractional-Dimension Gravity and the Milky Way Galaxy Geometry and field theory in multi-fractional spacetime

Reference 13

Resolution
metadata mismatch
local_arxiv, observed 2026-07-03T19:28:52.249180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-03T19:19:58.598372Z digest=sha256:85048d9f102e28b848fcfb0256c3c2aa9d619c672de7c216b1c1199e63340080