Pith Number

pith:4TEXRCDW

pith:2012:4TEXRCDWFVFZJWTMKZWHNGHTKI

not attested not anchored not stored refs pending

The thickness of cartesian product $K_n \Box P_m$

Yan Yang

arxiv:1202.1870 v1 · 2012-02-09 · math.CO

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

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	2026-05-18T04:02:38.909687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c97888762d4b94da6c566c7698f352382a9515807b47a7e84522bc88539eae

Aliases

arxiv: 1202.1870 · arxiv_version: 1202.1870v1 · doi: 10.48550/arxiv.1202.1870 · pith_short_12: 4TEXRCDWFVFZ · pith_short_16: 4TEXRCDWFVFZJWTM · pith_short_8: 4TEXRCDW

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/4TEXRCDWFVFZJWTMKZWHNGHTKI \
  | 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: e4c97888762d4b94da6c566c7698f352382a9515807b47a7e84522bc88539eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e18b343c0d8ff55c6a878d22ba30350c09bb0a61423aedc21474738c0464e7ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-09T01:57:00Z",
    "title_canon_sha256": "8913f573a6884cb465febd054815830ed2b7e44a158233a284930e29ac54ff45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1870",
    "kind": "arxiv",
    "version": 1
  }
}