Pith Number

pith:MXYTKYCQ

pith:2015:MXYTKYCQ7VSA5YRF6NVGCDQNMH

not attested not anchored not stored refs pending

Ramsey numbers for partially-ordered sets

Christopher Cox, Derrick Stolee

arxiv:1512.05261 v2 · 2015-12-16 · 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{MXYTKYCQ7VSA5YRF6NVGCDQNMH}

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	2026-05-18T00:56:31.471790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65f1356050fd640ee225f36a610e0d61d8a3cc1a8c03d476bd78767821e31c46

Aliases

arxiv: 1512.05261 · arxiv_version: 1512.05261v2 · doi: 10.48550/arxiv.1512.05261 · pith_short_12: MXYTKYCQ7VSA · pith_short_16: MXYTKYCQ7VSA5YRF · pith_short_8: MXYTKYCQ

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/MXYTKYCQ7VSA5YRF6NVGCDQNMH \
  | 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: 65f1356050fd640ee225f36a610e0d61d8a3cc1a8c03d476bd78767821e31c46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66dfa50891eda61f64d22ca0407762dc00987f5332365da390163d8987116935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-16T17:48:29Z",
    "title_canon_sha256": "3c4df78cf27380dc2e7a1f7f322386e4fa06e4ab8093565f8b192dbc57ef6459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05261",
    "kind": "arxiv",
    "version": 2
  }
}