Pith Number

pith:S33KH2MJ

pith:2011:S33KH2MJKD6QSEV6XIZ2AMW2KZ

not attested not anchored not stored refs pending

Reverse mathematics and properties of finite character

Carl Mummert, Damir D. Dzhafarov

arxiv:1109.3378 v2 · 2011-09-15 · 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{S33KH2MJKD6QSEV6XIZ2AMW2KZ}

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	2026-05-18T04:03:56.847851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f6a3e98950fd0912beba33a032da56744d76767210e4d1143ff7fc05b71818

Aliases

arxiv: 1109.3378 · arxiv_version: 1109.3378v2 · doi: 10.48550/arxiv.1109.3378 · pith_short_12: S33KH2MJKD6Q · pith_short_16: S33KH2MJKD6QSEV6 · pith_short_8: S33KH2MJ

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/S33KH2MJKD6QSEV6XIZ2AMW2KZ \
  | 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: 96f6a3e98950fd0912beba33a032da56744d76767210e4d1143ff7fc05b71818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b40240cfa2e8c9f2696412793c3339ccd340db336055e83cf520b766a144b3e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-09-15T15:12:47Z",
    "title_canon_sha256": "4f4de0fe50565da76476d90c9e99e2152b9b9b24fbf6f03697a1cc48942959b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3378",
    "kind": "arxiv",
    "version": 2
  }
}