Pith Number

pith:ZYPLD5UT

pith:2010:ZYPLD5UTSKNCUGW5SDTFTBC4ZO

not attested not anchored not stored refs pending

A general theory of self-similarity

Tom Leinster

arxiv:1010.4474 v2 · 2010-10-21 · math.CT · math.DS · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYPLD5UTSKNCUGW5SDTFTBC4ZO}

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	2026-05-18T04:36:49.011763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce1eb1f693929a2a1add90e659845ccb8a567852bdd7b897a5bdeb19aa97f451

Aliases

arxiv: 1010.4474 · arxiv_version: 1010.4474v2 · doi: 10.48550/arxiv.1010.4474 · pith_short_12: ZYPLD5UTSKNC · pith_short_16: ZYPLD5UTSKNCUGW5 · pith_short_8: ZYPLD5UT

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/ZYPLD5UTSKNCUGW5SDTFTBC4ZO \
  | 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: ce1eb1f693929a2a1add90e659845ccb8a567852bdd7b897a5bdeb19aa97f451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "923c47d498778d339a0c27ee5cf8deab4783ddc026b440dc39995292e65286b8",
    "cross_cats_sorted": [
      "math.DS",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-10-21T13:56:52Z",
    "title_canon_sha256": "6dc150caffe4d31f3d03edeb6eaacd651eec6fd83549c6b01ca0d4ce1fb10906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4474",
    "kind": "arxiv",
    "version": 2
  }
}