Pith Number

pith:MDUN44CT

pith:2016:MDUN44CTD7KLOMARDPH55HNXA7

not attested not anchored not stored refs pending

Multifractal and Network Analysis of Phase Transition

Chunbin Yang, Jihui Han, Longfeng Zhao, Wei Li, Xu Cai, Yijiang Zou, Zhu Su

arxiv:1601.07715 v1 · 2016-01-28 · cond-mat.stat-mech · physics.data-an

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDUN44CTD7KLOMARDPH55HNXA7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:51:18.012966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60e8de70531fd4b730111bcfde9db707e5f4e022401bb635b548df3808dde7ee

Aliases

arxiv: 1601.07715 · arxiv_version: 1601.07715v1 · doi: 10.48550/arxiv.1601.07715 · pith_short_12: MDUN44CTD7KL · pith_short_16: MDUN44CTD7KLOMAR · pith_short_8: MDUN44CT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MDUN44CTD7KLOMARDPH55HNXA7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 60e8de70531fd4b730111bcfde9db707e5f4e022401bb635b548df3808dde7ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a456c6f064e5443679278fcc6e7529f62b11fa3592a1c2ae187f1db4db37c808",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-01-28T10:34:37Z",
    "title_canon_sha256": "d881dac6e1f80f4a26289b8b159e8079dfb117398eccae24fb9bc2c466a6c582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07715",
    "kind": "arxiv",
    "version": 1
  }
}