Pith Number

pith:BBMW5WG6

pith:2025:BBMW5WG6CB2YQW44YFOKGGJM2Z

not attested not anchored not stored refs pending

Odd Ramsey numbers of multipartite graphs and hypergraphs

Coy Schwieder, Emily Heath, Nicholas Crawford, Owen Henderschedt, Shira Zerbib

arxiv:2507.19456 v1 · 2025-07-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBMW5WG6CB2YQW44YFOKGGJM2Z}

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.

Cited by

1 paper in Pith

New results on the odd- and unique-Ramsey numbers

Receipt and verification

First computed	2026-07-05T11:43:25.587620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08596ed8de1075885b9cc15ca3192cd640b83a3428e32ff79771d5b6da352f01

Aliases

arxiv: 2507.19456 · arxiv_version: 2507.19456v1 · doi: 10.48550/arxiv.2507.19456 · pith_short_12: BBMW5WG6CB2Y · pith_short_16: BBMW5WG6CB2YQW44 · pith_short_8: BBMW5WG6

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/BBMW5WG6CB2YQW44YFOKGGJM2Z \
  | 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: 08596ed8de1075885b9cc15ca3192cd640b83a3428e32ff79771d5b6da352f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6ea86cecd0abc1a353db1440ef927575a93b4b432a7c99ac9edb3a1860560fe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-25T17:42:23Z",
    "title_canon_sha256": "27afdd17dbedeb1bca9e11820e27ed7b139d129d8e94c95eb742ba9bd53f217f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19456",
    "kind": "arxiv",
    "version": 1
  }
}