Pith Number

pith:J7MZC54U

pith:2015:J7MZC54U64KCKH25NDOEYBVZQC

not attested not anchored not stored refs pending

Ramsey number of a connected triangle matching

Andras Gyarfas, Gabor N. Sarkozy

arxiv:1509.05530 v1 · 2015-09-18 · 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{J7MZC54U64KCKH25NDOEYBVZQC}

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	2026-05-18T01:32:42.923025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fd9917794f714251f5d68dc4c06b980a6afd4f7d6ed6c1581f4505232c25924

Aliases

arxiv: 1509.05530 · arxiv_version: 1509.05530v1 · doi: 10.48550/arxiv.1509.05530 · pith_short_12: J7MZC54U64KC · pith_short_16: J7MZC54U64KCKH25 · pith_short_8: J7MZC54U

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/J7MZC54U64KCKH25NDOEYBVZQC \
  | 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: 4fd9917794f714251f5d68dc4c06b980a6afd4f7d6ed6c1581f4505232c25924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04b8d035e76270f29e664a72e334a6d10e9a200c6d616947e780bd00898ab296",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-18T07:54:15Z",
    "title_canon_sha256": "f555cb458a44853c3130a459abcab8a867b963b3b666b68fc3772bf68e24bb0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05530",
    "kind": "arxiv",
    "version": 1
  }
}