Pith Number

pith:CG7ICJF3

pith:2011:CG7ICJF34Z6NHPOD46CTEWNXM3

not attested not anchored not stored refs pending

Universally Koszul algebras defined by graphs

Rashid Zaare-Nahandi

arxiv:1104.4619 v1 · 2011-04-24 · math.AC · 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{CG7ICJF34Z6NHPOD46CTEWNXM3}

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	2026-05-18T03:30:55.654463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11be8124bbe67cd3bdc3e7853259b766fd10140dc9772d529bcc3e2ef81d16d3

Aliases

arxiv: 1104.4619 · arxiv_version: 1104.4619v1 · doi: 10.48550/arxiv.1104.4619 · pith_short_12: CG7ICJF34Z6N · pith_short_16: CG7ICJF34Z6NHPOD · pith_short_8: CG7ICJF3

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/CG7ICJF34Z6NHPOD46CTEWNXM3 \
  | 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: 11be8124bbe67cd3bdc3e7853259b766fd10140dc9772d529bcc3e2ef81d16d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9179651d9b78ee237210a058713906b7e859241c0411e8c8330726f2c7d582a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-04-24T11:00:17Z",
    "title_canon_sha256": "54e164eb8b3b922ca519f95ea73bfc9661b57aeb4c714cafefdde547f7c91110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4619",
    "kind": "arxiv",
    "version": 1
  }
}