Pith Number

pith:BGZ4N5OY

pith:2012:BGZ4N5OYHGJT3S6HXY7J5RHSOQ

not attested not anchored not stored refs pending

Splitting Algebras: Koszul, Cohen-Macaulay and Numerically Koszul

Brad Shelton, Tyler Kloefkorn

arxiv:1207.1330 v2 · 2012-07-05 · math.RA · 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{BGZ4N5OYHGJT3S6HXY7J5RHSOQ}

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	2026-05-18T03:05:55.054187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b3c6f5d839933dcbc7be3e9ec4f27434139e2d311688582e8b74ee6995f775

Aliases

arxiv: 1207.1330 · arxiv_version: 1207.1330v2 · doi: 10.48550/arxiv.1207.1330 · pith_short_12: BGZ4N5OYHGJT · pith_short_16: BGZ4N5OYHGJT3S6H · pith_short_8: BGZ4N5OY

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/BGZ4N5OYHGJT3S6HXY7J5RHSOQ \
  | 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: 09b3c6f5d839933dcbc7be3e9ec4f27434139e2d311688582e8b74ee6995f775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46080fc700d8aa88c8822235459ef9ba76b77810f36058d1a96aea549ce85e8f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-05T19:12:50Z",
    "title_canon_sha256": "a47f75a40261ab5bf3c357c4cc8753294c95dbb6829738a3a9394864720f77b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1330",
    "kind": "arxiv",
    "version": 2
  }
}