Pith Number

pith:ZOTP3PMZ

pith:2013:ZOTP3PMZMA3EVCVATE4UUFH7B7

not attested not anchored not stored refs pending

Numerics and Fractals

Markus Hegland, Michael F. Barnsley, Peter Massopust

arxiv:1309.0972 v3 · 2013-09-04 · math.MG · 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{ZOTP3PMZMA3EVCVATE4UUFH7B7}

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	2026-05-18T02:45:48.687282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cba6fdbd9960364a8aa099394a14ff0fc8de76806895aa903ebbbeb18067b93a

Aliases

arxiv: 1309.0972 · arxiv_version: 1309.0972v3 · doi: 10.48550/arxiv.1309.0972 · pith_short_12: ZOTP3PMZMA3E · pith_short_16: ZOTP3PMZMA3EVCVA · pith_short_8: ZOTP3PMZ

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/ZOTP3PMZMA3EVCVATE4UUFH7B7 \
  | 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: cba6fdbd9960364a8aa099394a14ff0fc8de76806895aa903ebbbeb18067b93a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97ab7694b2592725d9e29ac0755bb8631d24ba58078b3fa502a5be4202064de9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-09-04T10:52:47Z",
    "title_canon_sha256": "f1fd2abcd356777d0416af99866ee82cf0f3561ecf38216aa9ca5e56ffa0b916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0972",
    "kind": "arxiv",
    "version": 3
  }
}