Pith Number

pith:S55WBZEN

pith:2013:S55WBZENDRSF5TR72ZHWGHSR4K

not attested not anchored not stored refs pending

On the geometric Ramsey numbers of trees

Pu Gao

arxiv:1308.5188 v2 · 2013-08-23 · 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{S55WBZENDRSF5TR72ZHWGHSR4K}

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	2026-05-18T03:07:22.788489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

977b60e48d1c645ece3fd64f631e51e2986ea0813be5a02d8ee1c81de10464c8

Aliases

arxiv: 1308.5188 · arxiv_version: 1308.5188v2 · doi: 10.48550/arxiv.1308.5188 · pith_short_12: S55WBZENDRSF · pith_short_16: S55WBZENDRSF5TR7 · pith_short_8: S55WBZEN

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/S55WBZENDRSF5TR72ZHWGHSR4K \
  | 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: 977b60e48d1c645ece3fd64f631e51e2986ea0813be5a02d8ee1c81de10464c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d6cd456893f78ee47dab14d7bca427469bd8c764213becbf0968336cf1af0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-23T17:49:06Z",
    "title_canon_sha256": "530c6b9152f9d9d581910c28ad84bbbce6f4be884b8567a9719ee7a3ed679cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5188",
    "kind": "arxiv",
    "version": 2
  }
}