Pith Number

pith:77GQNSRJ

pith:2014:77GQNSRJPKFS6B362QG2MC7ZBH

not attested not anchored not stored refs pending

Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets

Paulo Varandas, Thiago Bomfim

arxiv:1405.2541 v3 · 2014-05-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77GQNSRJPKFS6B362QG2MC7ZBH}

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	2026-05-18T01:29:47.069443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffcd06ca297a8b2f077ed40da60bf909d085237542720d137ac577642e70f7e5

Aliases

arxiv: 1405.2541 · arxiv_version: 1405.2541v3 · doi: 10.48550/arxiv.1405.2541 · pith_short_12: 77GQNSRJPKFS · pith_short_16: 77GQNSRJPKFS6B36 · pith_short_8: 77GQNSRJ

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/77GQNSRJPKFS6B362QG2MC7ZBH \
  | 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: ffcd06ca297a8b2f077ed40da60bf909d085237542720d137ac577642e70f7e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ef589b95ae61a7afe37e02f18c388de23033fb0d2b84e4fb1beab0fc716bca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-11T15:46:38Z",
    "title_canon_sha256": "2d6eb9b5ac5ea79f4943dff2f65c564fa06fd919a6b8574bb2eff7d3a2150d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2541",
    "kind": "arxiv",
    "version": 3
  }
}