Pith Number

pith:KOCULNXZ

pith:2011:KOCULNXZ3QWD6ETQWYN7X5Q3KK

not attested not anchored not stored refs pending

Squarefree vertex cover algebras

Farhad Rahmati, Shamila Bayati

arxiv:1110.6007 v2 · 2011-10-27 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOCULNXZ3QWD6ETQWYN7X5Q3KK}

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	2026-05-18T04:09:45.379137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

538545b6f9dc2c3f1270b61bfbf61b529ab8495a76dc1a507dd0587132c4865b

Aliases

arxiv: 1110.6007 · arxiv_version: 1110.6007v2 · doi: 10.48550/arxiv.1110.6007 · pith_short_12: KOCULNXZ3QWD · pith_short_16: KOCULNXZ3QWD6ETQ · pith_short_8: KOCULNXZ

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/KOCULNXZ3QWD6ETQWYN7X5Q3KK \
  | 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: 538545b6f9dc2c3f1270b61bfbf61b529ab8495a76dc1a507dd0587132c4865b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8648d98cca785c9ee6c2a4e076854447059eafa96d5d02afa18b3a8c89995645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-27T08:29:45Z",
    "title_canon_sha256": "0808c345ddb40fd144eb701f14cba3f5db15306ecef3e20fe90373eafe939ff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6007",
    "kind": "arxiv",
    "version": 2
  }
}