Pith Number

pith:R5QURQPQ

pith:2015:R5QURQPQNDO6ZL3IDABZPN7CCI

not attested not anchored not stored refs pending

Topological Ramsey numbers and countable ordinals

Andr\'es Eduardo Caicedo, Jacob Hilton

arxiv:1510.00078 v3 · 2015-09-30 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5QURQPQNDO6ZL3IDABZPN7CCI}

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	2026-05-18T00:39:58.629716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f6148c1f068ddecaf68180397b7e2120f5757b3163cb5182a813c4df03f6d76

Aliases

arxiv: 1510.00078 · arxiv_version: 1510.00078v3 · doi: 10.48550/arxiv.1510.00078 · pith_short_12: R5QURQPQNDO6 · pith_short_16: R5QURQPQNDO6ZL3I · pith_short_8: R5QURQPQ

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/R5QURQPQNDO6ZL3IDABZPN7CCI \
  | 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: 8f6148c1f068ddecaf68180397b7e2120f5757b3163cb5182a813c4df03f6d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b59d2fe9840ecd10457e59776bc5ebb2950dcf08ca93039998706c0ab7b55a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-09-30T23:44:33Z",
    "title_canon_sha256": "0f814b80986c3819b97ebe754d14f1d33517a892f047c0b512dc513edeedee4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00078",
    "kind": "arxiv",
    "version": 3
  }
}