Pith Number

pith:QMAT5O26

pith:2015:QMAT5O26JV2BCYOUZN4HEMECR6

not attested not anchored not stored refs pending

Dickson's lemma and weak Ramsey theory

Florian Pelupessy, Yasuhiko Omata

arxiv:1512.02954 v3 · 2015-12-09 · 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{QMAT5O26JV2BCYOUZN4HEMECR6}

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	2026-05-18T00:09:05.964693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83013ebb5e4d741161d4cb787230828f86cbe3b4a354a5a426eedf2859d72077

Aliases

arxiv: 1512.02954 · arxiv_version: 1512.02954v3 · doi: 10.48550/arxiv.1512.02954 · pith_short_12: QMAT5O26JV2B · pith_short_16: QMAT5O26JV2BCYOU · pith_short_8: QMAT5O26

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/QMAT5O26JV2BCYOUZN4HEMECR6 \
  | 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: 83013ebb5e4d741161d4cb787230828f86cbe3b4a354a5a426eedf2859d72077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c1eced3df36bde02cb6dd139cfed8e3f65e7c73d950fa90a7d7698294d884ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-09T17:20:42Z",
    "title_canon_sha256": "58753fb0cf224ed392a93fcf8d014735819537980db81095560c0f2f7874d4f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02954",
    "kind": "arxiv",
    "version": 3
  }
}