Pith Number

pith:HXH3H3B2

pith:2000:HXH3H3B2LB5RZ2JB7DOAIWKLQZ

not attested not anchored not stored refs pending

Fractal statistics, fractal index and fractons

Wellington da Cruz

arxiv:hep-th/0008222 v3 · 2000-08-29 · hep-th · cond-mat · gr-qc · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXH3H3B2LB5RZ2JB7DOAIWKLQZ}

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	2026-05-18T00:37:10.714927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dcfb3ec3a587b1ce921f8dc04594b8668a5ff9117f5b6580ccdbd7bef5c2cf8

Aliases

arxiv: hep-th/0008222 · arxiv_version: hep-th/0008222v3 · doi: 10.48550/arxiv.hep-th/0008222 · pith_short_12: HXH3H3B2LB5R · pith_short_16: HXH3H3B2LB5RZ2JB · pith_short_8: HXH3H3B2

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/HXH3H3B2LB5RZ2JB7DOAIWKLQZ \
  | 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: 3dcfb3ec3a587b1ce921f8dc04594b8668a5ff9117f5b6580ccdbd7bef5c2cf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f93fbbfe787fe21a61a95e977a8df71e49d190ee877ea74eedfc2cc101c7a6ea",
    "cross_cats_sorted": [
      "cond-mat",
      "gr-qc",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-08-29T14:58:54Z",
    "title_canon_sha256": "cbd72e34ff3efd1da3755e66fdd360a04d60cc8393f921b311449f7f55761ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0008222",
    "kind": "arxiv",
    "version": 3
  }
}