Pith Number

pith:45ZE35D5

pith:2013:45ZE35D5VZXZAOLSMZUJF4XJIQ

not attested not anchored not stored refs pending

Multifractality can be a universal signature of phase transitions

Xiao Xu, Zhi Chen

arxiv:1304.3189 v1 · 2013-04-11 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45ZE35D5VZXZAOLSMZUJF4XJIQ}

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

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	2026-05-18T03:28:18.380738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7724df47dae6f903972666892f2e9442d25721a1c95c1465d4e9f651bf99433

Aliases

arxiv: 1304.3189 · arxiv_version: 1304.3189v1 · doi: 10.48550/arxiv.1304.3189 · pith_short_12: 45ZE35D5VZXZ · pith_short_16: 45ZE35D5VZXZAOLS · pith_short_8: 45ZE35D5

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/45ZE35D5VZXZAOLSMZUJF4XJIQ \
  | 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: e7724df47dae6f903972666892f2e9442d25721a1c95c1465d4e9f651bf99433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03558631e31611c6d771d607d5d1715b1243d4b441a872ee729185cf39b46d23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-04-11T04:04:16Z",
    "title_canon_sha256": "5e6979f952f6b3129bb9790e194169b4f90a5ad0cda232f75787e744f1d4ed6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3189",
    "kind": "arxiv",
    "version": 1
  }
}