Pith Number

pith:XQIIVF3Z

pith:2013:XQIIVF3Z3KHLO274D6MBAU6TLO

not attested not anchored not stored refs pending

On the rank of higher inclusion matrices

Codrut Grosu, Tibor Szabo, Yury Person

arxiv:1306.2197 v1 · 2013-06-10 · 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{XQIIVF3Z3KHLO274D6MBAU6TLO}

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	2026-05-18T00:44:29.747590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc108a9779da8eb76bfc1f981053d35bbdfae06a6df3a3462b5b5153600d36ad

Aliases

arxiv: 1306.2197 · arxiv_version: 1306.2197v1 · doi: 10.48550/arxiv.1306.2197 · pith_short_12: XQIIVF3Z3KHL · pith_short_16: XQIIVF3Z3KHLO274 · pith_short_8: XQIIVF3Z

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/XQIIVF3Z3KHLO274D6MBAU6TLO \
  | 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: bc108a9779da8eb76bfc1f981053d35bbdfae06a6df3a3462b5b5153600d36ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1259155151e2523508af25d445c38689ff9af9548854fda28cf278f3b11d23ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-10T13:24:04Z",
    "title_canon_sha256": "1e245bf5ade7101f2fb845d2865ab016eaab360e93f24a06dfa5ba5001e9b14e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2197",
    "kind": "arxiv",
    "version": 1
  }
}