Pith Number

pith:RKMDU3CH

pith:2013:RKMDU3CHHV6A3KJZ4SFE6SMP5D

not attested not anchored not stored refs pending

Ramsey-type results on singletons, co-singletons and monotone sequences in large collections of sets

Fr\'ed\'eric Maffray, J\'er\^ome Renault, Nicolas Trotignon, Sylvain Gravier

arxiv:1308.5849 v1 · 2013-08-27 · 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{RKMDU3CHHV6A3KJZ4SFE6SMP5D}

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	2026-05-18T03:14:50.962441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a983a6c473d7c0da939e48a4f498fe8d16a772f76f45068838c897a7ef6ce38

Aliases

arxiv: 1308.5849 · arxiv_version: 1308.5849v1 · doi: 10.48550/arxiv.1308.5849 · pith_short_12: RKMDU3CHHV6A · pith_short_16: RKMDU3CHHV6A3KJZ · pith_short_8: RKMDU3CH

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/RKMDU3CHHV6A3KJZ4SFE6SMP5D \
  | 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: 8a983a6c473d7c0da939e48a4f498fe8d16a772f76f45068838c897a7ef6ce38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "491062159829e9060842858a9713bd6ac970e88c716419d9fa058b776384d99b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-27T12:51:24Z",
    "title_canon_sha256": "a59756a9f409b529d8617cbecad17f81672dc0033e528dd1a009939fb39668a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5849",
    "kind": "arxiv",
    "version": 1
  }
}