Pith Number

pith:UCQI7OL4

pith:2015:UCQI7OL4BO4DOKQS6HWZMQFNVM

not attested not anchored not stored refs pending

On the equitable vertex arboricity of complete tripartite graphs

Haixing Zhao, Yaping Mao, Zhiwei Guo

arxiv:1506.03530 v1 · 2015-06-11 · 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	2026-05-18T01:53:03.951836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0a08fb97c0bb8372a12f1ed9640adab1d6b00c88f6d31d33a67504773b45ce8

Aliases

arxiv: 1506.03530 · arxiv_version: 1506.03530v1 · doi: 10.48550/arxiv.1506.03530 · pith_short_12: UCQI7OL4BO4D · pith_short_16: UCQI7OL4BO4DOKQS · pith_short_8: UCQI7OL4

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/UCQI7OL4BO4DOKQS6HWZMQFNVM \
  | 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: a0a08fb97c0bb8372a12f1ed9640adab1d6b00c88f6d31d33a67504773b45ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c790a02a6d2109fbc1e4efe6cfab163f39d00a5970a94aeb026a690258b2d80b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-11T02:18:07Z",
    "title_canon_sha256": "49ea598b762174864fd75e218a39c8e690bb41477be07542534c0c0eaabb3710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03530",
    "kind": "arxiv",
    "version": 1
  }
}