Pith Number

pith:O2YDGBAX

pith:2015:O2YDGBAXJSXMX4QP64KPTBP7Y4

not attested not anchored not stored refs pending

Weak regularity and finitely forcible graph limits

Daniel Kral, Jacob W. Cooper, Jonathan A. Noel, Tomas Kaiser

arxiv:1507.00067 v4 · 2015-06-30 · math.CO · cs.DM

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	2026-05-18T01:07:54.123860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76b03304174caecbf20ff714f985ffc70b3353330fa6fc2ac9673e7616455679

Aliases

arxiv: 1507.00067 · arxiv_version: 1507.00067v4 · doi: 10.48550/arxiv.1507.00067 · pith_short_12: O2YDGBAXJSXM · pith_short_16: O2YDGBAXJSXMX4QP · pith_short_8: O2YDGBAX

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/O2YDGBAXJSXMX4QP64KPTBP7Y4 \
  | 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: 76b03304174caecbf20ff714f985ffc70b3353330fa6fc2ac9673e7616455679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c25a75c80dee634a3758f0515df13e837acba6f26c03775bfc482aacd84a26f9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-30T23:39:51Z",
    "title_canon_sha256": "60900bb01d3b585f398e3ae6365237118c5be9d58ac02d6e26ae07ba596f2629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00067",
    "kind": "arxiv",
    "version": 4
  }
}