Pith Number

pith:P4S2GX3M

pith:2009:P4S2GX3M2G4BO2R7IQAJO3ME7W

not attested not anchored not stored refs pending

Combinatorial Characterizations of K-matrices

Jan Foniok, Komei Fukuda, Lorenz Klaus

arxiv:0911.2171 v3 · 2009-11-11 · math.OC · 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{P4S2GX3M2G4BO2R7IQAJO3ME7W}

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	2026-05-18T03:35:54.653839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f25a35f6cd1b8176a3f4400976d84fd989c877c8c51895d85d6768ed4ae5bb4

Aliases

arxiv: 0911.2171 · arxiv_version: 0911.2171v3 · doi: 10.48550/arxiv.0911.2171 · pith_short_12: P4S2GX3M2G4B · pith_short_16: P4S2GX3M2G4BO2R7 · pith_short_8: P4S2GX3M

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/P4S2GX3M2G4BO2R7IQAJO3ME7W \
  | 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: 7f25a35f6cd1b8176a3f4400976d84fd989c877c8c51895d85d6768ed4ae5bb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "523e3e402414d2deeaf1ab9355b4100d914f87550135d1ce854eea8ab2b9bb98",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-11-11T16:25:53Z",
    "title_canon_sha256": "96c0911c99250b497dcfd3f2eb4e98e1e551aa9e902b1a18a3470e33c38c3883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2171",
    "kind": "arxiv",
    "version": 3
  }
}