Pith Number

pith:F7PUM726

pith:2015:F7PUM726CPWJRPM2ZLCG3X4WC7

not attested not anchored not stored refs pending

On the regular k-independence number of graphs

Haixing Zhao, Hongjian Lai, Yaping Mao, Zhiwei Guo

arxiv:1505.04867 v2 · 2015-05-19 · 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	2026-05-18T01:34:34.642096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fdf467f5e13ec98bd9acac46ddf9617cef8398bfdc5aad8b70905aaa0ecf68d

Aliases

arxiv: 1505.04867 · arxiv_version: 1505.04867v2 · doi: 10.48550/arxiv.1505.04867 · pith_short_12: F7PUM726CPWJ · pith_short_16: F7PUM726CPWJRPM2 · pith_short_8: F7PUM726

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/F7PUM726CPWJRPM2ZLCG3X4WC7 \
  | 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: 2fdf467f5e13ec98bd9acac46ddf9617cef8398bfdc5aad8b70905aaa0ecf68d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b798ce87eaca3f2601bd675b079ab355c76409a1d695609b82d169c3906675",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-19T04:34:35Z",
    "title_canon_sha256": "bebe6a85cae7345d0a30e884ad8a122486a9c344032916c2f5e7ee9e3e97a8c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04867",
    "kind": "arxiv",
    "version": 2
  }
}