Pith Number

pith:KGCUW7QL

pith:2015:KGCUW7QLXDTP4QHSSJ7FBGYNBD

not attested not anchored not stored refs pending

A Novel Paradigm for Calculating Ramsey Number via Artificial Bee Colony Algorithm

Fei Gao, Wei-Hao Mao, Wen-Ming Li, Yi-Jin Dong

arxiv:1512.01613 v2 · 2015-12-05 · cs.AI · cs.NE · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGCUW7QLXDTP4QHSSJ7FBGYNBD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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	2026-05-18T01:24:45.244971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51854b7e0bb8e6fe40f2927e509b0d08f453b3ff8372b8d03508ea17a09bd43c

Aliases

arxiv: 1512.01613 · arxiv_version: 1512.01613v2 · doi: 10.48550/arxiv.1512.01613 · pith_short_12: KGCUW7QLXDTP · pith_short_16: KGCUW7QLXDTP4QHS · pith_short_8: KGCUW7QL

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/KGCUW7QLXDTP4QHSSJ7FBGYNBD \
  | 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: 51854b7e0bb8e6fe40f2927e509b0d08f453b3ff8372b8d03508ea17a09bd43c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea3c831327eac782e90796a800d3500bed85423280ca61f9911939b4b862895",
    "cross_cats_sorted": [
      "cs.NE",
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2015-12-05T02:42:28Z",
    "title_canon_sha256": "a6f6aed7809ea7a50b9be9a292647ccfa51ee09707793f78ca7a5480f223da5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01613",
    "kind": "arxiv",
    "version": 2
  }
}