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Paper Citation Record · LEDGER

Essential singularities of fractal zeta functions

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.07845.

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

pith.paper-citation-record.v1
1908.07845 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:16:33.897032Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

21 of 21 outbound references displayed

  • verified exact4
  • verified fuzzy5
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f763da1c-5f1b-4fb1-98a7-2907e6e86145 · outbound

This paper cites an unresolved cited work.

Essential singularities of fractal zeta functions Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:34.217661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.805369Z digest=sha256:adc42afd739899166df4411456cbca769a7fd844c0dbd491a113c135d070e89d

Observation 27e672e2-0e8b-4a3c-b8a5-feb6a844d01d · outbound

This paper cites an unresolved cited work.

Essential singularities of fractal zeta functions Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:34.205521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.812839Z digest=sha256:d2c5519bd189b25588c5db4a7a4aa27ec0ed0ad51a0a22a8fb66df906b813bf0

Observation 4e6be1fb-f452-4531-a287-9aeed147d6e4 · outbound

This paper cites Bolsch, Repulsive periodic points of meromorphic fun ctions, Complex Variables Theor.

Essential singularities of fractal zeta functions Bolsch, Repulsive periodic points of meromorphic fun ctions, Complex Variables Theor

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:34.192675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.816985Z digest=sha256:63ae782d2d75f738c824cc14a92fd2cbfbf677faa8f308a7debbf73d980aa024

Observation 69eb9509-a680-4581-8601-4b31045bc927 · outbound

This paper cites Bolsch, Iteration of Meromorphic Functions with Countably Many Sin gularities, Ph.

Essential singularities of fractal zeta functions Bolsch, Iteration of Meromorphic Functions with Countably Many Sin gularities, Ph

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:34.180070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.821860Z digest=sha256:bcb25ef1c7a8c8c13dc18a399f39144cc1baf0efdeebf36b7d991416a53467ac

Observation 06c62a78-f1e9-4e71-8f03-184a27c3eb9c · outbound

This paper cites an unresolved cited work.

Essential singularities of fractal zeta functions Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:34.167151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.826744Z digest=sha256:66ac97bf82a79722688e14a93c5ad4c3ce8e64415f056a8459a5929decbdbf32

Observation 4aa7f12c-44d9-44e9-be6f-73d019d6e87d · outbound

This paper cites an unresolved cited work.

Essential singularities of fractal zeta functions Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:34.153793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.830939Z digest=sha256:e1a8b066182405c406a59b1272bc420c4b594b16dcfccf33c40d713005e5cad5

Observation bc54455a-c772-46d2-baad-3e03bf31dab6 · outbound

This paper cites Dynamics of meromorphic functions outside a countable set of essential singularities.

Essential singularities of fractal zeta functions Dynamics of meromorphic functions outside a countable set of essential singularities

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:16:34.008905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.835642Z digest=sha256:96430b11e87e307cb677f2acde9205a1688e393fc2e5a3b4cdb3f6cdc3abaa0a

Observation edce0320-d981-4aa2-bae5-ecc2d9f08d67 · outbound

This paper cites Ebeling, Functions of Several Complex Variables and Their Singulari ties, Gradu- ate Studies in Mathematics, vol.

Essential singularities of fractal zeta functions Ebeling, Functions of Several Complex Variables and Their Singulari ties, Gradu- ate Studies in Mathematics, vol

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:34.140580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.840135Z digest=sha256:6cb7b2edc58da1ac19b15aaf22fda6e17a6bc63d2b8e52f561f593b4b4ca0674

Observation 2c170e0e-9f4d-4bfb-963c-627824018886 · outbound

This paper cites an unresolved cited work.

Essential singularities of fractal zeta functions Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:34.127238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.844247Z digest=sha256:3268507a9d56ec084c0d09ce8f4a95abcaf4eb3f24317278e072a97fce385afc

Observation 8d7cf4a7-f036-410e-9b00-dd55bab389a4 · outbound

This paper cites An Overview of Complex Fractal Dimensions: From Fractal Strings to Fractal Drums, and Back.

Essential singularities of fractal zeta functions An Overview of Complex Fractal Dimensions: From Fractal Strings to Fractal Drums, and Back

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:16:33.989037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.848450Z digest=sha256:6a8896961f4c525ccb7fda529709504b80a0b6d1419f8e517c21e7a3da4f5c13

Observation d9113b2a-c526-4e3e-ac65-5670f2c1f2c0 · outbound

This paper cites an unresolved cited work.

Essential singularities of fractal zeta functions Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:34.113011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.853413Z digest=sha256:8cf99ce9c31f1ed0f9e9928adce2ba67178fdecff33b219b71c1c1d3baeec2cd

Observation 6fbe96e0-038f-48f5-ac30-082fd3c7b1e8 · outbound

This paper cites an unresolved cited work.

Essential singularities of fractal zeta functions Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:34.100114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.862420Z digest=sha256:375c6868bf4a2ea5a97a602793a18305b1a947fb2f291c927ac486da7d0d52d7

Observation f0c45ae3-c7ea-4231-b7f8-3842d3e74433 · outbound

This paper cites Fractal Tube Formulas for Compact Sets and Relative Fractal Drums: Oscillations, Complex Dimensions and Fractality.

Essential singularities of fractal zeta functions Fractal Tube Formulas for Compact Sets and Relative Fractal Drums: Oscillations, Complex Dimensions and Fractality

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:16:33.953970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.866323Z digest=sha256:1e2ff6af87180dc96c413b53acef6196886d560471ffd2b6b3b4dfda980f829b

Observation eb4ee817-9b7c-4701-8669-1a8e7b78225c · outbound

This paper cites an unresolved cited work.

Essential singularities of fractal zeta functions Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:34.086299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.870671Z digest=sha256:434e82df33eaa61837349c91a5d0e4c653ec764803e5cd0c87c74c051bc9143c

Observation 0b4d0916-b0e5-49d5-8429-a29e2119b757 · outbound

This paper cites an unresolved cited work.

Essential singularities of fractal zeta functions Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:34.073281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.874695Z digest=sha256:5053181ff3a42f20e7c22d7b5cbd9f06a918c6d98fb52443971972e680cd264f

Observation 61c523c9-8d10-4774-a69a-e00a5288907c · outbound

This paper cites an unresolved cited work.

Essential singularities of fractal zeta functions Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:34.060284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.879538Z digest=sha256:9607df17870ee1ea7c99a944db66c05f71b78fbf5215dfeafb583c57ee212194

Observation 771fa6cd-69ef-4238-b034-87e7545013bc · outbound

This paper cites Radunovi´ c, Fractal Analysis of Unbounded Sets in Euclidean Spaces and L apidus Zeta Functions, Ph.

Essential singularities of fractal zeta functions Radunovi´ c, Fractal Analysis of Unbounded Sets in Euclidean Spaces and L apidus Zeta Functions, Ph

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T12:16:33.884017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:16:33.884017Z digest=sha256:76e9e27e32cea616b4c80bf6b241fb00c4dd6bfa9a9a32dc1c8c5608a214c31b

Observation 487b6f3c-8bc8-48ba-98c9-d49d539fa9c9 · outbound

This paper cites Fractality and Lapidus zeta functions at infinity.

Essential singularities of fractal zeta functions Fractality and Lapidus zeta functions at infinity

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:16:33.935284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.888165Z digest=sha256:fc7713a1d3c9c02091d9db7703f0980f4c97a600a38614518b8bc849de4907a5

Observation 36f6f541-1cd6-44ba-adc5-b25af4689fb4 · outbound

This paper cites Resman, Invariance of the normalized Minkowski cont ent with respect to the ambient space, Chaos, Solitons & Fractals 57 (2013), 123–128.

Essential singularities of fractal zeta functions Resman, Invariance of the normalized Minkowski cont ent with respect to the ambient space, Chaos, Solitons & Fractals 57 (2013), 123–128

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:34.037446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.892422Z digest=sha256:bbbbd46058adea834e5fda3ee64cbfc9bb687a01820f18ad16ed901e77cf7b20

Observation 636cfa3d-effe-4ad4-ab49-e6f0755c7ab6 · outbound

This paper cites Schlag, A Course in Complex Analysis and Riemann Surfaces , Graduate Studies in Mathematics, vol.

Essential singularities of fractal zeta functions Schlag, A Course in Complex Analysis and Riemann Surfaces , Graduate Studies in Mathematics, vol

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:34.023189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.897032Z digest=sha256:1db83ccc209fb91c120ed69e407e70b30ca0e47e884f71267dfcf414da5cd151

Observation dc0857f5-ce5b-411b-81bf-ec0a474bec52 · outbound

This paper cites Distance and tube zeta functions of fractals and arbitrary compact sets.

Essential singularities of fractal zeta functions Distance and tube zeta functions of fractals and arbitrary compact sets

Reference 1267

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T12:16:33.971492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:33.857809Z digest=sha256:6feacefc86940013552a552dbda1c8c62cf9e3a74c72bd5cada8b311d26a4be3

Pith citing papers

No inbound Pith citation observations are available.