Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:47:51.501906Z
Paper Citation Record · LEDGER
Weak-disorder limit at criticality for directed polymers on hierarchical graphs
As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:1908.06555.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:33:32.574138Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T11:58:21.638726Z
Reference resolution
28 of 28 outbound references displayed
- verified exact0
- verified fuzzy16
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 45c59f30-8e65-4072-a8c5-7cb6b7715bd6 · outbound
This paper cites Alberts, J.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Alberts, J
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:47:51.315154Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 216a084c-2d3c-4066-a48c-613d850309ce · outbound
This paper cites Alberts, K.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Alberts, K
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:47:51.324085Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16fe5e8b-0b49-4011-8b71-64321672e3f4 · outbound
This paper cites Alberts, K.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Alberts, K
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:47:51.329986Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84da2b8e-1581-4e9e-a1d2-fc4e64123241 · outbound
This paper cites Bertini and N.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Bertini and N
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:52.074172Z
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.
Observation 801d57ab-9f45-4afa-89c7-1a9263b41af1 · outbound
This paper cites Caravenna, R.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Caravenna, R
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:47:51.344000Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c3fb2af1-5840-4adc-b193-e6c288e2f39c · outbound
This paper cites Caravenna, R.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Caravenna, R
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:47:51.351046Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c47d5b38-0bbc-44a5-a998-2fb687334d24 · outbound
This paper cites Caravenna, R.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Caravenna, R
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:52.019876Z
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.
Observation 971b5413-474a-41a4-97fb-92269f113ccb · outbound
This paper cites Scaling limits of disordered systems and disorder relevance.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Scaling limits of disordered systems and disorder relevance
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:47:51.364464Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39df4ded-6330-419d-b146-e91529b85f53 · outbound
This paper cites Caravenna, R.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Caravenna, R
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:52.000107Z
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.
Observation 935a6ddf-da9a-4bdf-9cb1-260d9ba89b22 · outbound
This paper cites Clark: High-temperature scaling limit for directed polymers on a hierarchical lattice with bond disorder, J.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Clark: High-temperature scaling limit for directed polymers on a hierarchical lattice with bond disorder, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.979996Z
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.
Observation e80981c5-cd1d-430b-9b3b-030e04f746c1 · outbound
This paper cites Clark: Continuum directed random polymers on disordered hierarchical diamond lattices , Stoch.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Clark: Continuum directed random polymers on disordered hierarchical diamond lattices , Stoch
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.957795Z
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.
Observation 6c1e97c3-9469-4463-8857-67ca39d85972 · outbound
This paper cites Continuum models of directed polymers on disordered diamond fractals in the critical case.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Continuum models of directed polymers on disordered diamond fractals in the critical case
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:47:51.389347Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc35046d-3ba4-4571-b380-efd48c297948 · outbound
This paper cites 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 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.
Observation c418da42-814a-40fb-95b7-c851ecb7489c · outbound
This paper cites Comets: Directed Polymers in Random Environments , Lecture Notes in Mathematics, vol.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Comets: Directed Polymers in Random Environments , Lecture Notes in Mathematics, vol
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.935233Z
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.
Observation 8d0e856d-907b-4a46-881f-3275cc28d83b · outbound
This paper cites an unresolved cited work.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:47:51.914446Z
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.
Observation 188e4ecb-421d-430b-a97a-1df721ff2cb1 · outbound
This paper cites Derrida, R.B.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Derrida, R.B
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.891945Z
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.
Observation 2be3fc83-5c7b-409f-b0d9-de3a4022e475 · outbound
This paper cites Giacomin, H.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Giacomin, H
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.870116Z
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.
Observation d051477b-6e61-417b-a841-abcbdfee2da1 · outbound
This paper cites Goldstein: Normal approximation for hierarchical structures , Ann.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Goldstein: Normal approximation for hierarchical structures , Ann
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.851444Z
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.
Observation 551c4d8c-f050-475a-ada3-0b66b09c227e · outbound
This paper cites Goldstein and G.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Goldstein and G
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.830293Z
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.
Observation 91963ecd-efd4-4fd3-8211-8473043c5c1e · outbound
This paper cites Moments of the 2D SHE at criticality.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Moments of the 2D SHE at criticality
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:47:51.448787Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 184daf7a-2c35-43eb-bef0-71d5a24bbb26 · outbound
This paper cites Hambly, J.H.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Hambly, J.H
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.809691Z
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.
Observation f8440e2c-898f-4153-a6d4-9424db407f7c · outbound
This paper cites Hambly, T.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Hambly, T
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:47:51.463436Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d9cd931-bad4-4132-8d27-8b1746e2a773 · outbound
This paper cites Lacoin, G.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Lacoin, G
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.776095Z
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.
Observation e15edaab-28ae-4341-bce5-9e344c782ae5 · outbound
This paper cites Rogers: Hausdorff Measures, Cambridge University Press, London, 1970.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Rogers: Hausdorff Measures, Cambridge University Press, London, 1970
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.752723Z
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.
Observation 17d1a5f5-4795-480e-9fab-b8d977b6a4dd · outbound
This paper cites Ruiz: Explicit formulas for heat kernels on diamond fractals , Commun.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Ruiz: Explicit formulas for heat kernels on diamond fractals , Commun
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:47:51.481634Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed2750f9-8f6a-47a9-b40c-99a0e33476de · outbound
This paper cites Shamov: On Gaussian multiplicative chaos , J.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Shamov: On Gaussian multiplicative chaos , J
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.719128Z
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.
Observation 1dc5c305-aae2-4d80-acd6-1c00016c7347 · outbound
This paper cites Stein: A bound for the error in the normal approximation to the distribution of a sum of dependent random variables, Proc.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Stein: A bound for the error in the normal approximation to the distribution of a sum of dependent random variables, Proc
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.697650Z
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.
Observation 98ae5711-bbf7-4044-8f0e-9d0c7dac2997 · outbound
This paper cites Wehr, J.M.
Weak-disorder limit at criticality for directed polymers on hierarchical graphs Wehr, J.M
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:47:51.671550Z
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.
Pith citing papers
Observation bcfd639e-c026-4237-a640-b7ece2abe4f2 · 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 Weak-disorder limit at criticality for directed polymers on hierarchical graphs
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:33:32.574138Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d7a9608-1144-428c-8bd5-4152c7ea5ca6 · inbound
The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal cites this paper.
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.