Pith Number

pith:RFRBVN24

pith:2012:RFRBVN24HV27CLJOLKRRWI3IX6

not attested not anchored not stored refs pending

Multifractal spectra of typical and prevalent measures

Fr\'ed\'eric Bayart

arxiv:1207.1004 v2 · 2012-07-04 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFRBVN24HV27CLJOLKRRWI3IX6}

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	2026-05-18T01:56:34.851305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89621ab75c3d75f12d2e5aa31b2368bf8bb1e37e1370948ab4bc064e6c731e73

Aliases

arxiv: 1207.1004 · arxiv_version: 1207.1004v2 · doi: 10.48550/arxiv.1207.1004 · pith_short_12: RFRBVN24HV27 · pith_short_16: RFRBVN24HV27CLJO · pith_short_8: RFRBVN24

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/RFRBVN24HV27CLJOLKRRWI3IX6 \
  | 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: 89621ab75c3d75f12d2e5aa31b2368bf8bb1e37e1370948ab4bc064e6c731e73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a96242035d4e144415d9dd4d21b4a8a19a6bb9e441d49166618426c7ddfe7d4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-04T14:54:55Z",
    "title_canon_sha256": "63087af50ba6c5d50788b24e843dc73d6a4c6b91538779124a40425ddcda833b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1004",
    "kind": "arxiv",
    "version": 2
  }
}