Pith Number

pith:PYPRICL5

pith:2019:PYPRICL5AT3F65CN6FZ6QATBW2

not attested not anchored not stored refs pending

The 0-th Fitting ideal of the Jacobian module of a plane curve

Alexandru Dimca, Gabriel Sticlaru

arxiv:1904.07823 v1 · 2019-04-16 · math.AG · 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{PYPRICL5AT3F65CN6FZ6QATBW2}

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	2026-05-17T23:48:24.138344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e1f14097d04f65f744df173e80261b6bb649ab9bb67896c4c818c962277ba72

Aliases

arxiv: 1904.07823 · arxiv_version: 1904.07823v1 · doi: 10.48550/arxiv.1904.07823 · pith_short_12: PYPRICL5AT3F · pith_short_16: PYPRICL5AT3F65CN · pith_short_8: PYPRICL5

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/PYPRICL5AT3F65CN6FZ6QATBW2 \
  | 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: 7e1f14097d04f65f744df173e80261b6bb649ab9bb67896c4c818c962277ba72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247944558bab75dd60f451c6e4ba31c96bbc94e839e0debc2fc7db1cb9e8f4aa",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-16T16:59:40Z",
    "title_canon_sha256": "7a8454ea22dfae3f8193b82da2077e79796c8e5db111dbde06a27a32cc084995"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07823",
    "kind": "arxiv",
    "version": 1
  }
}