Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-19T08:12:44.029481Z
Paper Citation Record · LEDGER
Reducible Iterated Graph Systems: multiscale-freeness and multifractals
As of 18 July 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2506.18073.
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 2026-07-18T06:30:57.431901+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-21T10:52:14.961955Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-05-21T10:54:07.986296Z
Reference resolution
41 of 41 outbound references displayed
- verified exact4
- verified fuzzy37
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 73dd2f7d-e7f3-40a1-b7f7-9fe98d643bc4 · outbound
This paper cites On the scale-freeness of random colored substitution networks.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals On the scale-freeness of random colored substitution networks
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.092725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 7d4531bd-4200-4521-9022-ca6ac3c580e2 · outbound
This paper cites Fractal dimensions for iterated graph systems.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Fractal dimensions for iterated graph systems
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.116957Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation d57735c7-9ac7-4bde-ae51-9f6311fc2ccb · outbound
This paper cites Recursion equations in gauge field theories.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Recursion equations in gauge field theories
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.120401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 0c19dc67-540e-4d69-990c-6bb1ce8601b3 · outbound
This paper cites Notes on migdal’s recursion formulas.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Notes on migdal’s recursion formulas
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.128998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 014d83a9-f3ea-4bd3-809f-91c5769b1d26 · outbound
This paper cites Cluster shapes at the percolation threshold: and effective cluster dimensionality and its connection with critical-point exponents.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Cluster shapes at the percolation threshold: and effective cluster dimensionality and its connection with critical-point exponents
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.061234Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 849af381-199c-4219-9798-9a8affc8e278 · outbound
This paper cites Renormalisation-group calculations of finite systems: order parameter and specific heat for epitaxial ordering.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Renormalisation-group calculations of finite systems: order parameter and specific heat for epitaxial ordering
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.148167Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 57fc3f02-9998-4b7f-9842-504dc2de206e · outbound
This paper cites Exactly soluble ising models on hierar- chical lattices.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Exactly soluble ising models on hierar- chical lattices
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.140284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation d9377ea8-aae1-46da-a550-c52c5d881a03 · outbound
This paper cites Density of states on fractals: fractons.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Density of states on fractals: fractons
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.136642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 6b4b4097-556a-4157-ac76-34688d1041b4 · outbound
This paper cites Phase transitions on fractals. ii. sierpinski gaskets.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Phase transitions on fractals. ii. sierpinski gaskets
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.052352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation f03785d5-f4b7-44bd-b484-797485d9b9b9 · outbound
This paper cites Particle-antiparticle annihilation in diffusive motion.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Particle-antiparticle annihilation in diffusive motion
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.168452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 49f0a89f-a313-4659-bc59-a8f6d344259f · outbound
This paper cites Flow in porous media: The.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Flow in porous media: The
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.087576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 65fb8b1a-acc9-4e9f-950f-6af537a411f7 · outbound
This paper cites Fractal structure of zeros in hierarchical models.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Fractal structure of zeros in hierarchical models
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.157750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 15fdf7c0-6864-483c-a84e-3fb0b856f95e · outbound
This paper cites Self-similarity of complex networks.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Self-similarity of complex networks
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.047616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 36dcb52e-aefa-40ab-b689-435f4821c2ac · outbound
This paper cites Collective dynamics of ‘small- world’networks.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Collective dynamics of ‘small- world’networks
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.164837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation f34ff879-90ec-46d9-9e69-5644b84b104c · outbound
This paper cites Emergence of scaling in random networks.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Emergence of scaling in random networks
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.172520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation cd50547f-7084-408e-883c-1e27b3f3522c · outbound
This paper cites Hierarchical organization in complex net- works.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Hierarchical organization in complex net- works
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.097067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 274dee77-69b6-445f-9d60-5a52b01eafc2 · outbound
This paper cites Epidemic spreading in scale-free networks.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Epidemic spreading in scale-free networks
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.043194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 605bcbda-6102-4569-b9c7-e0f0b8c16b7a · outbound
This paper cites Brownian motion on the sierpinski gas- ket.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Brownian motion on the sierpinski gas- ket
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.056961Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 8bef0228-d5f5-4cea-8f1a-65cda7da9312 · outbound
This paper cites Transition density estimates for brow- nian motion on scale irregular sierpinski gaskets.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Transition density estimates for brow- nian motion on scale irregular sierpinski gaskets
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.112656Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 87bcf8ae-9ac9-4fb9-9e08-2775f51e037a · outbound
This paper cites Brownian motion and harmonic analysis on sierpinski carpets.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Brownian motion and harmonic analysis on sierpinski carpets
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.022516Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 28e64162-3cc9-4c72-b9ab-142361ea2760 · outbound
This paper cites A harmonic calculus on the sierpinski spaces.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals A harmonic calculus on the sierpinski spaces
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.038672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation ee0fb2c2-4cd8-499f-b55b-c0f833384c6c · outbound
This paper cites Harmonic calculus on pcf self-similar sets.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Harmonic calculus on pcf self-similar sets
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.034143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 7bb066f4-a1f7-40ea-9023-eae5a6229c55 · outbound
This paper cites Kigami, Analysis on Fractals.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Kigami, Analysis on Fractals
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.080445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 6c1e5f3b-8356-4f2d-90b5-308f81685540 · outbound
This paper cites Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.105644Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 410afe26-c722-44dd-a861-dabb27a4570a · outbound
This paper cites Asymptotics for functions associated with heat flow on the sierpinski carpet.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Asymptotics for functions associated with heat flow on the sierpinski carpet
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.152848Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation beaac7b6-6ed6-42cb-ba41-de4a61ad2f9f · outbound
This paper cites On the dichotomy in the heat kernel two sided estimates.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals On the dichotomy in the heat kernel two sided estimates
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.028263Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation dea42b45-3906-41f7-b5a2-2c2e5d4a3468 · outbound
This paper cites Heat kernels on metric measure spaces and an application to semilinear elliptic equations.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Heat kernels on metric measure spaces and an application to semilinear elliptic equations
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.109367Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 44e9af7f-a143-49a3-9a82-8f0e18f3adf5 · outbound
This paper cites Self-similar k-graph c*-algebras.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Self-similar k-graph c*-algebras
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.144384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 4215592c-65c1-4d44-b380-60054ca65483 · outbound
This paper cites Gradient estimate for the heat kernel on some fractal-like cable systems and quasi-riesz transforms.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Gradient estimate for the heat kernel on some fractal-like cable systems and quasi-riesz transforms
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.101231Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 425cc721-ecbe-4062-8fc0-e88d36ac1c24 · outbound
This paper cites Fractality and scale-free effect of a class of self-similar networks.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Fractality and scale-free effect of a class of self-similar networks
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.123782Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation e91bf039-e095-462e-a5a2-43ea0411ed46 · outbound
This paper cites Average distance of substitution networks.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Average distance of substitution networks
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.064762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 0517f5c3-8183-4408-b35c-cbc366fce0aa · outbound
This paper cites Scale-free effect of substitution networks.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Scale-free effect of substitution networks
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.077140Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 055b665c-9d5f-4bb9-aa4d-b8071ab60f7d · outbound
This paper cites On Constructions of Fractal Spaces Using Replacement and the Combinatorial Loewner Property.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals On Constructions of Fractal Spaces Using Replacement and the Combinatorial Loewner Property
Reference 33
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T08:13:01.523671Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 7d76cdb3-5522-47a3-a99c-3d0489bc8797 · outbound
This paper cites Iterated graph systems and the combi- natorial loewner property.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Iterated graph systems and the combi- natorial loewner property
Reference 34
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T08:13:01.510445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation d52dc4af-3020-48b1-adfa-a0e0a8467369 · outbound
This paper cites Fractal Graph Contrastive Learning.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Fractal Graph Contrastive Learning
Reference 35
- Resolution
- verified exact
- local_arxiv, observed 2026-05-19T08:13:01.503753Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 6d2ffff2-4466-4b17-a084-8c8050dc0464 · outbound
This paper cites Renormalization Group Approach to Percolation in Hierarchical Lattices.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Renormalization Group Approach to Percolation in Hierarchical Lattices
Reference 36
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T08:13:01.516051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation e1dddb4f-729c-4680-af39-d4b3cb618448 · outbound
This paper cites Percolation on fractal networks: A survey.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Percolation on fractal networks: A survey
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.133453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 0601416b-9738-4348-a651-7cea1cec425f · outbound
This paper cites Perron-frobenius theory and frequency con- vergence for reducible substitutions.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Perron-frobenius theory and frequency con- vergence for reducible substitutions
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.083925Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation acb94d94-857c-4caa-8912-ff2dc85820ac · outbound
This paper cites Unzerlegbare, nicht negative matrizen.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Unzerlegbare, nicht negative matrizen
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.073017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation 2c3a69de-fdf8-461a-8030-73e22c6c97ca · outbound
This paper cites an unresolved cited work.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Unresolved cited work
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.069339Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Observation d4c46c77-e376-4dd9-bf50-76b593b60bfa · outbound
This paper cites Falconer, Fractal Geometry: Mathematical Foundations and Applica- tions.
Reducible Iterated Graph Systems: multiscale-freeness and multifractals Falconer, Fractal Geometry: Mathematical Foundations and Applica- tions
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T08:13:02.161366Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.
Pith citing papers
Observation 84a94a0b-fb85-4dc5-8e19-cad26d847db7 · inbound
Iterated Graph Systems (I): random walks and diffusion limits cites this paper.
Iterated Graph Systems (I): random walks and diffusion limits Reducible Iterated Graph Systems: multiscale-freeness and multifractals
Reference 41
- Resolution
- verified exact
- local_arxiv, observed 2026-05-21T10:54:07.988026Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-18T06:30:57.431901+00:00.