Pith Number

pith:DBCEFYHV

pith:2011:DBCEFYHVDAXUP536RWZQ7Q2ILH

not attested not anchored not stored refs pending

Lyubeznik numbers of monomial ideals

Alireza Vahidi, Josep Alvarez Montaner

arxiv:1107.5230 v1 · 2011-07-26 · 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{DBCEFYHVDAXUP536RWZQ7Q2ILH}

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	2026-05-18T04:16:52.691442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

184442e0f5182f47f77e8db30fc34859f9046fa8fdf9468a132f1c34a2262229

Aliases

arxiv: 1107.5230 · arxiv_version: 1107.5230v1 · doi: 10.48550/arxiv.1107.5230 · pith_short_12: DBCEFYHVDAXU · pith_short_16: DBCEFYHVDAXUP536 · pith_short_8: DBCEFYHV

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/DBCEFYHVDAXUP536RWZQ7Q2ILH \
  | 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: 184442e0f5182f47f77e8db30fc34859f9046fa8fdf9468a132f1c34a2262229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb824cfc8164aa6db10a1c6d6a220012a9ec0fdff1be5f09207988746603306",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-07-26T14:58:22Z",
    "title_canon_sha256": "1bbb637cd5dbef9d3d35fa3f381eef35e2307311f361388b8221ff0bfd30c61c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5230",
    "kind": "arxiv",
    "version": 1
  }
}