Pith Number

pith:SJXW5ODU

pith:2011:SJXW5ODUZL2KBEDGWJZGGRDJHU

not attested not anchored not stored refs pending

A sneak preview of proof theory of ordinals

Toshiyasu Arai

arxiv:1102.0596 v1 · 2011-02-03 · 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{SJXW5ODUZL2KBEDGWJZGGRDJHU}

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	2026-05-18T03:28:30.827720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

926f6eb874caf4a09066b2726344693d1590b517b33c94b1fe9f0ca01e2115be

Aliases

arxiv: 1102.0596 · arxiv_version: 1102.0596v1 · doi: 10.48550/arxiv.1102.0596 · pith_short_12: SJXW5ODUZL2K · pith_short_16: SJXW5ODUZL2KBEDG · pith_short_8: SJXW5ODU

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/SJXW5ODUZL2KBEDGWJZGGRDJHU \
  | 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: 926f6eb874caf4a09066b2726344693d1590b517b33c94b1fe9f0ca01e2115be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a645c8d45a637d84d7d9dd6454bb586642a7f1d3c67d4c4f7d7b3343ad0cef73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-02-03T02:33:52Z",
    "title_canon_sha256": "17c8be0d853fb75ac7e8d8f20eb26195205c5e900308ae7be5a3d5b9ed991e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0596",
    "kind": "arxiv",
    "version": 1
  }
}