Pith Number

pith:AJGZ4XAW

pith:2014:AJGZ4XAWCXVF4PAGZOMTXM2WJ4

not attested not anchored not stored refs pending

Extended Formulations for Sparsity Matroids

Naoki Katoh, Naoyuki Kamiyama, Satoru Iwata, Shuji Kijima, Yoshio Okamoto

arxiv:1403.7272 v1 · 2014-03-28 · math.CO · cs.DM · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJGZ4XAWCXVF4PAGZOMTXM2WJ4}

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	2026-05-18T02:55:20.053163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

024d9e5c1615ea5e3c06cb993bb3564f280b67aa3e8e750a209d304a3cd91428

Aliases

arxiv: 1403.7272 · arxiv_version: 1403.7272v1 · doi: 10.48550/arxiv.1403.7272 · pith_short_12: AJGZ4XAWCXVF · pith_short_16: AJGZ4XAWCXVF4PAG · pith_short_8: AJGZ4XAW

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/AJGZ4XAWCXVF4PAGZOMTXM2WJ4 \
  | 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: 024d9e5c1615ea5e3c06cb993bb3564f280b67aa3e8e750a209d304a3cd91428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48855914b6fe3a930f38250001f4e1003d6a6126a53b96613b5d517935c666dc",
    "cross_cats_sorted": [
      "cs.DM",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-28T03:03:40Z",
    "title_canon_sha256": "bcad650465aa1ffd9e564ed3e6a069e2187c62dce752f5d8fa512911c7a16ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7272",
    "kind": "arxiv",
    "version": 1
  }
}