Pith Number

pith:7YKATTZV

pith:2024:7YKATTZVHZJSC2FOQQ75QL6MJ6

not attested not anchored not stored refs pending

Koszul Graded M\"obius Algebras and Strongly Chordal Graphs

Adam LaClair, Irena Peeva, Jason McCullough, Matthew Mastroeni

arxiv:2412.18499 v1 · 2024-12-24 · 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{7YKATTZVHZJSC2FOQQ75QL6MJ6}

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	2026-07-05T09:53:56.719595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe1409cf353e532168ae843fd82fcc4fb49456a802648f132083aa6fd889e840

Aliases

arxiv: 2412.18499 · arxiv_version: 2412.18499v1 · doi: 10.48550/arxiv.2412.18499 · pith_short_12: 7YKATTZVHZJS · pith_short_16: 7YKATTZVHZJSC2FO · pith_short_8: 7YKATTZV

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/7YKATTZVHZJSC2FOQQ75QL6MJ6 \
  | 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: fe1409cf353e532168ae843fd82fcc4fb49456a802648f132083aa6fd889e840

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "160bd811ae955324b034ce3f1e4b6c8d09f50625c07e8fc9807e0d0a396c3705",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-12-24T15:31:36Z",
    "title_canon_sha256": "b814d33b48ae9b6a79e55df13258c0dfe62d963ef5eaff37c4d0e324b6ace0dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18499",
    "kind": "arxiv",
    "version": 1
  }
}