Pith Number

pith:WSGBVCRH

pith:2019:WSGBVCRHJLSKCLURPNSOHN5UDU

not attested not anchored not stored refs pending

Bernstein-Sato polynomials for general ideals vs. principal ideals

Mircea Mustata

arxiv:1906.03086 v2 · 2019-06-07 · 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{WSGBVCRHJLSKCLURPNSOHN5UDU}

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	2026-05-17T23:43:32.476844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b48c1a8a274ae4a12e917b64e3b7b41d19582405301d457829f20ddcc52b1e50

Aliases

arxiv: 1906.03086 · arxiv_version: 1906.03086v2 · doi: 10.48550/arxiv.1906.03086 · pith_short_12: WSGBVCRHJLSK · pith_short_16: WSGBVCRHJLSKCLUR · pith_short_8: WSGBVCRH

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/WSGBVCRHJLSKCLURPNSOHN5UDU \
  | 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: b48c1a8a274ae4a12e917b64e3b7b41d19582405301d457829f20ddcc52b1e50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4207030bb556defa0e5ec7f3d8ea482dfb55e3e8a86e60e7f82f6c66af2fd7a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-07T13:27:50Z",
    "title_canon_sha256": "af391dc78a95e00114b4e7046b40cd0710a9b0c49740b547bbeadb00952254b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03086",
    "kind": "arxiv",
    "version": 2
  }
}