Pith Number

pith:CR6OPEWJ

pith:2021:CR6OPEWJ2NH3DBWXJYJ5VAMPSA

not attested not anchored not stored refs pending

Estimates for zero loci of Bernstein-Sato ideals

Alexander Van Werde, Nero Budur, Robin van der Veer

arxiv:2111.03334 v2 · 2021-11-05 · 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{CR6OPEWJ2NH3DBWXJYJ5VAMPSA}

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	2026-07-05T05:32:29.225183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

147ce792c9d34fb186d74e13da818f901d9babeab1bcda0e6c4dbf980c3e0da7

Aliases

arxiv: 2111.03334 · arxiv_version: 2111.03334v2 · doi: 10.48550/arxiv.2111.03334 · pith_short_12: CR6OPEWJ2NH3 · pith_short_16: CR6OPEWJ2NH3DBWX · pith_short_8: CR6OPEWJ

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/CR6OPEWJ2NH3DBWXJYJ5VAMPSA \
  | 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: 147ce792c9d34fb186d74e13da818f901d9babeab1bcda0e6c4dbf980c3e0da7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25dafd1418cd74207ebfe2e5805639eac129eb497d00a32013882fe31f82ae0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-11-05T09:07:23Z",
    "title_canon_sha256": "71456cf499672cba0ac338145666e99fde2e58d15d5f109c7e1354a3709e6475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.03334",
    "kind": "arxiv",
    "version": 2
  }
}