Pith Number

pith:3LRMVBXV

pith:2011:3LRMVBXV25GAP2QAUREVQHL3LH

not attested not anchored not stored refs pending

Ramsey Properties of Permutations

Jan Foniok, Julia B\"ottcher

arxiv:1103.5686 v2 · 2011-03-29 · 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{3LRMVBXV25GAP2QAUREVQHL3LH}

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	2026-05-18T02:22:11.526580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae2ca86f5d74c07ea00a449581d7b59e849f813bc0bb638ad3d0730d6ddef68

Aliases

arxiv: 1103.5686 · arxiv_version: 1103.5686v2 · doi: 10.48550/arxiv.1103.5686 · pith_short_12: 3LRMVBXV25GA · pith_short_16: 3LRMVBXV25GAP2QA · pith_short_8: 3LRMVBXV

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/3LRMVBXV25GAP2QAUREVQHL3LH \
  | 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: dae2ca86f5d74c07ea00a449581d7b59e849f813bc0bb638ad3d0730d6ddef68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a37e29299b72ae97129991100f99507552fdbf2d1ed36fded86073e74ab9315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-29T15:44:30Z",
    "title_canon_sha256": "5b6af93bd78dc1fd41b25d565379b0613eb00909bee1a54925d51152e4360dc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5686",
    "kind": "arxiv",
    "version": 2
  }
}