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Paper Citation Record · LEDGER

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:1908.08192.

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

pith.paper-citation-record.v1
1908.08192 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:58:21.144466Z

measured 15 of 15 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:47:51.395646Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T12:33:33.273295Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact4
  • verified fuzzy8
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a8748b6a-f704-4c33-b1cc-ebeebd9f6fb3 · outbound

This paper cites Alberts, K.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Alberts, K

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:58:22.418781Z

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=2026-08-14T11:58:20.887358Z digest=sha256:476d5b4d6c1f7445c04a8bb4b0e1dde3dbd1dc2f7633b440e5ceaa82c0cad969

Observation 8df36568-1ffb-4736-b887-ca20e00f62d1 · outbound

This paper cites Caravenna, R.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Caravenna, R

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T11:58:20.898560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:58:20.898560Z digest=sha256:c876f86dca3a52330c10b291deb0d7497162233c9d707dc71c85ba94bf52746f

Observation 92787892-6f3c-4581-84ed-0da8415a63e3 · outbound

This paper cites an unresolved cited work.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Unresolved cited work

Reference 3

Resolution
verified exact
doi, observed 2026-08-14T11:58:21.324024Z

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=2026-08-14T11:58:20.914752Z digest=sha256:e87969e156fb51133ce25545fda27b7fd2f3f58ec325392540976aa5c96c96ea

Observation 9d7a9608-1144-428c-8bd5-4152c7ea5ca6 · outbound

This paper cites Weak-disorder limit at criticality for directed polymers on hierarchical graphs.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Weak-disorder limit at criticality for directed polymers on hierarchical graphs

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:58:21.655160Z

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=2026-08-14T11:58:20.947699Z digest=sha256:c04caa54d3c5364324c849f174e297c488dfc2097054d6fda6c3ed1212b83f77

Observation 2ac2120b-72d8-4970-b4ef-7a20387535d6 · outbound

This paper cites Continuum models of directed polymers on disordered diamond fractals in the critical case.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Continuum models of directed polymers on disordered diamond fractals in the critical case

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:58:21.559048Z

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=2026-08-14T11:58:20.967905Z digest=sha256:c3b17eb4b378d9333b78d6ab998573c48b781c57b748aed676d1877f2d2e0f35

Observation 21908fa2-61b4-4573-9fc0-d9dd040f2124 · outbound

This paper cites Folland: Real analysis: modern techniques and their applications , 2nd Edition, Wiley, 1999.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Folland: Real analysis: modern techniques and their applications , 2nd Edition, Wiley, 1999

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:58:22.327665Z

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=2026-08-14T11:58:20.986835Z digest=sha256:646d77a9aaffd95b5cd15d7e2ea34a30ecc926e6810d88cb8cb39c41ad2a0999

Observation 042939e0-d221-4830-9606-467473b92a93 · outbound

This paper cites Janson: Gaussian Hilbert spaces, Cambridge University Press, 1997.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Janson: Gaussian Hilbert spaces, Cambridge University Press, 1997

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:58:22.208359Z

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=2026-08-14T11:58:21.003986Z digest=sha256:df341e0698bf025e42f9b0a78e1d88a0c1600795df519ccd60b50ad681abd849

Observation 9535d455-a3a7-43e2-ba02-28dbc126f4b2 · outbound

This paper cites Junnila: Contributions to the theory of multiplicative chaos , Doctoral Dissertation (2018).

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Junnila: Contributions to the theory of multiplicative chaos , Doctoral Dissertation (2018)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:58:22.117212Z

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=2026-08-14T11:58:21.023620Z digest=sha256:e88d11845213e33372cf117afb61e541799fc314c385ac04459ddf0655334ef5

Observation 519a6952-192d-456a-9032-468f2b292919 · outbound

This paper cites Moments of the 2D SHE at criticality.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Moments of the 2D SHE at criticality

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:58:21.424514Z

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=2026-08-14T11:58:21.040828Z digest=sha256:ef04f1ca4a5b6327a6716aeb4b9bc2fb5bc7d4567585ffe0bb9b070fdc8f2b73

Observation 2bb2b8ab-5417-4c0c-a4f2-e4dcf2bb3980 · outbound

This paper cites Kahane: Sur les chaos multiplicatif , Ann.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Kahane: Sur les chaos multiplicatif , Ann

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:58:22.036377Z

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=2026-08-14T11:58:21.068050Z digest=sha256:11b1b2a84146a0151c46ea2b659118e0ca3c3c3ce4ed892e5a6e987ba262dc7e

Observation be5d09fa-6e1d-4b0e-8073-2b286aae281a · outbound

This paper cites Lacoin, G.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Lacoin, G

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:58:21.946567Z

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=2026-08-14T11:58:21.082125Z digest=sha256:116e215b850680098f93070f29cdb57aa1761e42c95c6ac1116a2d90f7a02cee

Observation 05e96fa7-f34d-402b-b459-4f620979659e · outbound

This paper cites Rhodes, V.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Rhodes, V

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:58:21.830483Z

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=2026-08-14T11:58:21.100958Z digest=sha256:33e2a8afba478cc90723fe4c179da01f20d81da8652a3c7b503667319e7f8a6f

Observation ec7c5f6e-3a15-40f8-8daf-68dafcfb9069 · outbound

This paper cites Shamov: On Gaussian multiplicative chaos , J.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Shamov: On Gaussian multiplicative chaos , J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:58:21.756701Z

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=2026-08-14T11:58:21.144466Z digest=sha256:9f80ae7f8560e545109fb2da8df4d404d90757d1860206fed8ccd7d5161be934

Pith citing papers

Observation fc35046d-3ba4-4571-b380-efd48c297948 · inbound

Weak-disorder limit at criticality for directed polymers on hierarchical graphs cites this paper.

Weak-disorder limit at criticality for directed polymers on hierarchical graphs The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T12:47:51.395646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:47:51.395646Z digest=sha256:af3c4b8cc6e6ebea01f07ea5c016a7c658e95ee249974d57c5a81cb6ee521f39

Observation 5bef140f-567f-4b6b-9e13-0757f70d466f · inbound

Continuum models of directed polymers on disordered diamond fractals in the critical case cites this paper.

Continuum models of directed polymers on disordered diamond fractals in the critical case The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:33:33.277122Z

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=2026-08-14T12:33:32.580600Z digest=sha256:c2688200ad810b03ff3782b2fb563c44d244653c6634c7b804f3d4d99bcf01fe