Pith Number

pith:7MI3T55R

pith:2011:7MI3T55RGHIJYO32WNFW5CWSC7

not attested not anchored not stored refs pending

Lifting up the proof theory to the countables : Zermelo-Fraenkel set theory

Toshiyasu Arai

arxiv:1101.5660 v5 · 2011-01-29 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MI3T55RGHIJYO32WNFW5CWSC7}

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	2026-05-18T03:31:31.122099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb11b9f7b131d09c3b7ab34b6e8ad217f2af9b8dab6ec8be4558cef5fa891b35

Aliases

arxiv: 1101.5660 · arxiv_version: 1101.5660v5 · doi: 10.48550/arxiv.1101.5660 · pith_short_12: 7MI3T55RGHIJ · pith_short_16: 7MI3T55RGHIJYO32 · pith_short_8: 7MI3T55R

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/7MI3T55RGHIJYO32WNFW5CWSC7 \
  | 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: fb11b9f7b131d09c3b7ab34b6e8ad217f2af9b8dab6ec8be4558cef5fa891b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b38831ca851ea2ce70977b7cda6ace51b9f2c1ebe9d64cad45f00ea161a78c17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-01-29T03:23:41Z",
    "title_canon_sha256": "6cc7f5f0eba77f48c34299e32372bd88062822e29350566fd6f9690aa0aad399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5660",
    "kind": "arxiv",
    "version": 5
  }
}