Pith Number

pith:4DXBA5JI

pith:2003:4DXBA5JIG7RIAOAEVBFKGYOPGH

not attested not anchored not stored refs pending

Fractal Structure with a Typical Scale

Atushi Ishikawa, Masahiro Anazawa, Masashi Tomoyose, Tadao Suzuki

arxiv:cond-mat/0307116 v4 · 2003-07-04 · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DXBA5JIG7RIAOAEVBFKGYOPGH}

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	2026-05-18T02:40:19.532338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ee10752837e2803804a84aa361cf31de3f5089737783a87937a2a47e58966d

Aliases

arxiv: cond-mat/0307116 · arxiv_version: cond-mat/0307116v4 · doi: 10.48550/arxiv.cond-mat/0307116 · pith_short_12: 4DXBA5JIG7RI · pith_short_16: 4DXBA5JIG7RIAOAE · pith_short_8: 4DXBA5JI

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/4DXBA5JIG7RIAOAEVBFKGYOPGH \
  | 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: e0ee10752837e2803804a84aa361cf31de3f5089737783a87937a2a47e58966d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b100b8de4d4413f871980c9297405d52c7a382b7dd53bda947d587cda1de1bfc",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2003-07-04T19:49:40Z",
    "title_canon_sha256": "58593bb607b95da1d2a8ad6ea31cb1f4d643346bbdad29e2e7dca3f272dd4934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0307116",
    "kind": "arxiv",
    "version": 4
  }
}