Pith Number

pith:4PP6J5XS

pith:2000:4PP6J5XSRSB3AQ3JID2KEDNBXZ

not attested not anchored not stored refs pending

On triangleleft^*-maximality

Mirna D\v{z}amonja, Saharon Shelah

arxiv:math/0009087 v2 · 2000-09-08 · 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{4PP6J5XSRSB3AQ3JID2KEDNBXZ}

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	2026-05-18T04:24:06.565120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3dfe4f6f28c83b0436940f4a20da1be4ef7a026998a5676c79e90655f838742

Aliases

arxiv: math/0009087 · arxiv_version: math/0009087v2 · doi: 10.48550/arxiv.math/0009087 · pith_short_12: 4PP6J5XSRSB3 · pith_short_16: 4PP6J5XSRSB3AQ3J · pith_short_8: 4PP6J5XS

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/4PP6J5XSRSB3AQ3JID2KEDNBXZ \
  | 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: e3dfe4f6f28c83b0436940f4a20da1be4ef7a026998a5676c79e90655f838742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab3ccaa8b49aa30457fa11d00da07f41e463817835754b081241b580244190ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2000-09-08T13:37:11Z",
    "title_canon_sha256": "91dd920f176838a32a6ab867d04448dbcf956e02a0817250a623300d8995bae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009087",
    "kind": "arxiv",
    "version": 2
  }
}