Pith Number

pith:AFPNPIBN

pith:2012:AFPNPIBNTUYT43NGE4HB2MKFVE

not attested not anchored not stored refs pending

Poset limits can be totally ordered

Andras Mathe, Jan Hladky, Oleg Pikhurko, Viresh Patel

arxiv:1211.2473 v2 · 2012-11-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFPNPIBNTUYT43NGE4HB2MKFVE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:08:14.437056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

015ed7a02d9d313e6da6270e1d3145a929be18eb270e36fd46521c6957269dee

Aliases

arxiv: 1211.2473 · arxiv_version: 1211.2473v2 · doi: 10.48550/arxiv.1211.2473 · pith_short_12: AFPNPIBNTUYT · pith_short_16: AFPNPIBNTUYT43NG · pith_short_8: AFPNPIBN

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/AFPNPIBNTUYT43NGE4HB2MKFVE \
  | 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: 015ed7a02d9d313e6da6270e1d3145a929be18eb270e36fd46521c6957269dee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5261506253a3f93622fbfabeebc046569b8d233e7be5d758d24b48e63e715a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-11T22:36:33Z",
    "title_canon_sha256": "fc9cdda05dfa7aefed4f20d8d2b9cc2b26af7ec52febfaafa301e293b322af54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2473",
    "kind": "arxiv",
    "version": 2
  }
}