Pith Number

pith:OUKNNNFN

pith:2025:OUKNNNFNCE5OQK6FIYFREEVGZ5

not attested not anchored not stored refs pending

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers

Juan Migliore, Uwe Nagel

arxiv:2508.12113 v1 · 2025-08-16 · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUKNNNFNCE5OQK6FIYFREEVGZ5}

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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.

Cited by

1 paper in Pith

Residue ideals of hyperplane arrangements

Receipt and verification

First computed	2026-07-05T11:55:00.326116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7514d6b4ad113ae82bc5460b1212a6cf52140545196462f1db02a782d6afe820

Aliases

arxiv: 2508.12113 · arxiv_version: 2508.12113v1 · doi: 10.48550/arxiv.2508.12113 · pith_short_12: OUKNNNFNCE5O · pith_short_16: OUKNNNFNCE5OQK6F · pith_short_8: OUKNNNFN

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/OUKNNNFNCE5OQK6FIYFREEVGZ5 \
  | 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: 7514d6b4ad113ae82bc5460b1212a6cf52140545196462f1db02a782d6afe820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d6c269bd831db5445db9b3867f4f7558b884b1261c2d89de4912d0157b0725",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-08-16T17:54:23Z",
    "title_canon_sha256": "9b9ab1c25053d4cee2b097698f36c19b093c84c01a48c808ae04f9ec63e8546c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12113",
    "kind": "arxiv",
    "version": 1
  }
}