Pith Number

pith:72W3IMQZ

pith:2016:72W3IMQZWCOT6POENJLNGGUALE

not attested not anchored not stored refs pending

Ramsey's theorem for singletons and strong computable reducibility

Damir D. Dzhafarov, Linda Brown Westrick, Ludovic Patey, Reed Solomon

arxiv:1602.04481 v3 · 2016-02-14 · 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{72W3IMQZWCOT6POENJLNGGUALE}

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	2026-05-18T01:13:15.319445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feadb43219b09d3f3dc46a56d31a80591d1fc404752c667e38d15c6e13bc82d3

Aliases

arxiv: 1602.04481 · arxiv_version: 1602.04481v3 · doi: 10.48550/arxiv.1602.04481 · pith_short_12: 72W3IMQZWCOT · pith_short_16: 72W3IMQZWCOT6POE · pith_short_8: 72W3IMQZ

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/72W3IMQZWCOT6POENJLNGGUALE \
  | 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: feadb43219b09d3f3dc46a56d31a80591d1fc404752c667e38d15c6e13bc82d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4904ec070531ba4966f07c2ac8aa569add94e2febb8d1c51d65413934963c03e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-02-14T18:05:08Z",
    "title_canon_sha256": "05c2bd99f9a7ca937b23f57f0a0de918ecd5a6d8f03d2600a1e5d519a3037887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04481",
    "kind": "arxiv",
    "version": 3
  }
}