Pith Number

pith:ZJLPHB62

pith:2012:ZJLPHB62M5FQZL4IR53LXUKWDO

not attested not anchored not stored refs pending

Rethinking set theory

Tom Leinster

arxiv:1212.6543 v1 · 2012-12-28 · math.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJLPHB62M5FQZL4IR53LXUKWDO}

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	2026-05-18T02:38:30.022408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca56f387da674b0caf888f76bbd1561ba92ad871a8c2a93081dca6782ed6d782

Aliases

arxiv: 1212.6543 · arxiv_version: 1212.6543v1 · doi: 10.48550/arxiv.1212.6543 · pith_short_12: ZJLPHB62M5FQ · pith_short_16: ZJLPHB62M5FQZL4I · pith_short_8: ZJLPHB62

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/ZJLPHB62M5FQZL4IR53LXUKWDO \
  | 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: ca56f387da674b0caf888f76bbd1561ba92ad871a8c2a93081dca6782ed6d782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad00ed5018898211807e3ea403e7619a79a75c40b4afb9da91773a22e741f8a2",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-12-28T17:47:53Z",
    "title_canon_sha256": "506921378bb233b7876804755eeb2e95f87d8b49e89f616c90e77517f8ef903b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6543",
    "kind": "arxiv",
    "version": 1
  }
}