Pith Number

pith:BW2KZIOZ

pith:2010:BW2KZIOZQXEFSSOVJO7JTOXRFB

not attested not anchored not stored refs pending

Computing the diameter polynomially faster than APSP

Raphael Yuster

arxiv:1011.6181 v2 · 2010-11-29 · cs.DS

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	2026-05-18T04:31:42.047027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db4aca1d985c85949d54bbe99baf1286e22ae1f4140b9ee30827d35d39f8284

Aliases

arxiv: 1011.6181 · arxiv_version: 1011.6181v2 · doi: 10.48550/arxiv.1011.6181 · pith_short_12: BW2KZIOZQXEF · pith_short_16: BW2KZIOZQXEFSSOV · pith_short_8: BW2KZIOZ

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/BW2KZIOZQXEFSSOVJO7JTOXRFB \
  | 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: 0db4aca1d985c85949d54bbe99baf1286e22ae1f4140b9ee30827d35d39f8284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c188ba443429dd6fa479ed01645e28fae64484c8c0d82af0304017953a4cbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-11-29T10:26:27Z",
    "title_canon_sha256": "ebfa1c919eef1dc6a18f95323bde95f1b5298adfdb61e63f7ddfd0859b90f0ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6181",
    "kind": "arxiv",
    "version": 2
  }
}