Pith Number

pith:IMZDPFUV

pith:2011:IMZDPFUVVTOH7B7B3ZOZHGDK56

not attested not anchored not stored refs pending

The thermodynamic approach to multifractal analysis

Vaughn Climenhaga

arxiv:1102.5427 v2 · 2011-02-26 · 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{IMZDPFUVVTOH7B7B3ZOZHGDK56}

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	2026-05-17T23:53:19.445937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4332379695acdc7f87e1de5d93986aef8f6871b357fee814c1ae19429c38ff7b

Aliases

arxiv: 1102.5427 · arxiv_version: 1102.5427v2 · doi: 10.48550/arxiv.1102.5427 · pith_short_12: IMZDPFUVVTOH · pith_short_16: IMZDPFUVVTOH7B7B · pith_short_8: IMZDPFUV

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/IMZDPFUVVTOH7B7B3ZOZHGDK56 \
  | 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: 4332379695acdc7f87e1de5d93986aef8f6871b357fee814c1ae19429c38ff7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "418fecae34d82474039509a1e5aea4dea1f699be600f03256b812a7bc4f9a40b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-26T15:58:47Z",
    "title_canon_sha256": "8285f2ac56fa0cf8d69344ab5e640fc3623117e34d6c08732b23511d65dad812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5427",
    "kind": "arxiv",
    "version": 2
  }
}