Pith Number

pith:7C5HL6OC

pith:2015:7C5HL6OCVMC2L2N27GD7E54VYG

not attested not anchored not stored refs pending

Face numbers of sequentially Cohen-Macaulay complexes and Betti numbers of componentwise linear ideals

Afshin Goodarzi, Anders Bj\"orner, Karim A. Adiprasito

arxiv:1502.01183 v2 · 2015-02-04 · math.CO · 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{7C5HL6OCVMC2L2N27GD7E54VYG}

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	2026-05-18T00:49:36.976997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ba75f9c2ab05a5e9baf987f27795c1848eb2e2047668c9f7f85073d60142de

Aliases

arxiv: 1502.01183 · arxiv_version: 1502.01183v2 · doi: 10.48550/arxiv.1502.01183 · pith_short_12: 7C5HL6OCVMC2 · pith_short_16: 7C5HL6OCVMC2L2N2 · pith_short_8: 7C5HL6OC

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/7C5HL6OCVMC2L2N27GD7E54VYG \
  | 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: f8ba75f9c2ab05a5e9baf987f27795c1848eb2e2047668c9f7f85073d60142de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa13f1f3daf0b9c32a00e64d7ae2eb1b761bae366a00a7eea18c84dadec9c0c8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-04T13:09:18Z",
    "title_canon_sha256": "0ef10de23a9df2d1221e8b8eee6bd4cf577b0aba8875c6cd07bc1fd37e71e3dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01183",
    "kind": "arxiv",
    "version": 2
  }
}