Pith Number

pith:J4ZUWB2Y

pith:2016:J4ZUWB2Y33AD3QTPSP3ZK4ESFJ

not attested not anchored not stored refs pending

Non reduced plane curve singularities with $b_1(F)=0$ and Bobadilla's question

Dirk Siersma

arxiv:1602.02989 v2 · 2016-02-09 · 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{J4ZUWB2Y33AD3QTPSP3ZK4ESFJ}

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	2026-05-18T00:26:16.758342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f334b0758dec03dc26f93f79570922a6950045cad3aa685ed1fb9eac3dea616

Aliases

arxiv: 1602.02989 · arxiv_version: 1602.02989v2 · doi: 10.48550/arxiv.1602.02989 · pith_short_12: J4ZUWB2Y33AD · pith_short_16: J4ZUWB2Y33AD3QTP · pith_short_8: J4ZUWB2Y

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/J4ZUWB2Y33AD3QTPSP3ZK4ESFJ \
  | 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: 4f334b0758dec03dc26f93f79570922a6950045cad3aa685ed1fb9eac3dea616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59285cd3c830f7a217d068b9e9dbccc83eb2c69d7b4cea072934949ccc2574fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-09T14:08:21Z",
    "title_canon_sha256": "b056bbf776c6a98b66647b60fb4a2f1d42c78b9f5572dd47f520fc465d7d8dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02989",
    "kind": "arxiv",
    "version": 2
  }
}