Pith Number

pith:7VIHASWS

pith:2014:7VIHASWSNMKFFAPX75EGJNLO6I

not attested not anchored not stored refs pending

Squarefree monomial modules and extremal Betti numbers

Carmela Ferro, Marilena Crupi

arxiv:1410.0795 v1 · 2014-10-03 · 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{7VIHASWSNMKFFAPX75EGJNLO6I}

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	2026-05-18T02:41:09.690269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd50704ad26b145281f7ff4864b56ef229fba431d2bc074aa05d7b0704c4f797

Aliases

arxiv: 1410.0795 · arxiv_version: 1410.0795v1 · doi: 10.48550/arxiv.1410.0795 · pith_short_12: 7VIHASWSNMKF · pith_short_16: 7VIHASWSNMKFFAPX · pith_short_8: 7VIHASWS

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/7VIHASWSNMKFFAPX75EGJNLO6I \
  | 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: fd50704ad26b145281f7ff4864b56ef229fba431d2bc074aa05d7b0704c4f797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22257de72a0da295bdce2913f1e9e7e73b5f176a2a5b5cba17452d28f5ba76bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-10-03T09:42:23Z",
    "title_canon_sha256": "490e64c2a56fe3d056391dcab95bcd6b8d1379ac82896e310af08f642cab36f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0795",
    "kind": "arxiv",
    "version": 1
  }
}