Pith Number

pith:X3ZY7NFD

pith:2018:X3ZY7NFDDKM2MOXLX2D5FAIVU2

not attested not anchored not stored refs pending

On the structure of matrices avoiding interval-minor patterns

Stanislav Ku\v{c}era, V\'it Jel\'inek

arxiv:1803.09003 v1 · 2018-03-23 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3ZY7NFDDKM2MOXLX2D5FAIVU2}

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	2026-05-18T00:20:12.944128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bef38fb4a31a99a63aebbe87d28115a6aadffbe88d8e02bc8faee072491223e7

Aliases

arxiv: 1803.09003 · arxiv_version: 1803.09003v1 · doi: 10.48550/arxiv.1803.09003 · pith_short_12: X3ZY7NFDDKM2 · pith_short_16: X3ZY7NFDDKM2MOXL · pith_short_8: X3ZY7NFD

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/X3ZY7NFDDKM2MOXLX2D5FAIVU2 \
  | 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: bef38fb4a31a99a63aebbe87d28115a6aadffbe88d8e02bc8faee072491223e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deebb27bee6b05bc8caf6adf4e9f1e110ab5d6a91ecc87ac0bff10d93fbf68dd",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-23T22:41:46Z",
    "title_canon_sha256": "0ef7c89ded2ee2e5d98d46c3092603f5a778c26a6b3aa95fabd19c161f56ab3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09003",
    "kind": "arxiv",
    "version": 1
  }
}