Pith Number

pith:IML2DBOZ

pith:2013:IML2DBOZ3CQXL2OOO5NXGBQCX6

not attested not anchored not stored refs pending

Extremal subgraphs of the $d$-dimensional grid graph

Geir Agnarsson, Kshitij Lauria

arxiv:1302.6517 v1 · 2013-02-26 · 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{IML2DBOZ3CQXL2OOO5NXGBQCX6}

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	2026-05-18T03:32:28.991894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4317a185d9d8a175e9ce775b730602bf984bf5bba5020b795555890a252444a6

Aliases

arxiv: 1302.6517 · arxiv_version: 1302.6517v1 · doi: 10.48550/arxiv.1302.6517 · pith_short_12: IML2DBOZ3CQX · pith_short_16: IML2DBOZ3CQXL2OO · pith_short_8: IML2DBOZ

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/IML2DBOZ3CQXL2OOO5NXGBQCX6 \
  | 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: 4317a185d9d8a175e9ce775b730602bf984bf5bba5020b795555890a252444a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb7b078498c94c06a9779e2a23932a572e30e3973a18322f4122cea8295e67d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-26T18:05:10Z",
    "title_canon_sha256": "865980f48763cf71418169e56fc1c27fca5f0c4d9ded0707d0e10cca0b3a126a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6517",
    "kind": "arxiv",
    "version": 1
  }
}