Pith Number

pith:5SE32ELQ

pith:2000:5SE32ELQ44JTQZKAZXF3Y3OKC4

not attested not anchored not stored refs pending

Bounding by canonical functions, with CH

Paul Larson, Saharon Shelah

arxiv:math/0011187 v2 · 2000-11-22 · 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{5SE32ELQ44JTQZKAZXF3Y3OKC4}

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	2026-05-18T04:41:35.276001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec89bd1170e713386540cdcbbc6dca170aa192c626d48e14a1541bf51df11e25

Aliases

arxiv: math/0011187 · arxiv_version: math/0011187v2 · doi: 10.48550/arxiv.math/0011187 · pith_short_12: 5SE32ELQ44JT · pith_short_16: 5SE32ELQ44JTQZKA · pith_short_8: 5SE32ELQ

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/5SE32ELQ44JTQZKAZXF3Y3OKC4 \
  | 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: ec89bd1170e713386540cdcbbc6dca170aa192c626d48e14a1541bf51df11e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83dd29685228e24bcfad617e4af34c2df38a7b42e764f09965fcb482df9f0264",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2000-11-22T20:46:35Z",
    "title_canon_sha256": "cc74e9c9c74dfcb2558749aa83810999f318fc702ecad01adbe21a72b92ffed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0011187",
    "kind": "arxiv",
    "version": 2
  }
}