Pith Number

pith:GV53ZBDV

pith:1997:GV53ZBDV2BNRAC4FOO5EXMPRBX

not attested not anchored not stored refs pending

Real deformations and complex topology of plane curve singularities

Norbert A'Campo

arxiv:alg-geom/9710023 v2 · 1997-10-20 · alg-geom · 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{GV53ZBDV2BNRAC4FOO5EXMPRBX}

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.

Cited by

1 paper in Pith

Real morsifications via the trace map

Receipt and verification

First computed	2026-07-04T14:10:03.375482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

357bbc8475d05b100b8573ba4bb1f10dedc090ac3283b95eac3f0a008ecacfae

Aliases

arxiv: alg-geom/9710023 · arxiv_version: alg-geom/9710023v2 · doi: 10.48550/arxiv.alg-geom/9710023 · pith_short_12: GV53ZBDV2BNR · pith_short_16: GV53ZBDV2BNRAC4F · pith_short_8: GV53ZBDV

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/GV53ZBDV2BNRAC4FOO5EXMPRBX \
  | 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: 357bbc8475d05b100b8573ba4bb1f10dedc090ac3283b95eac3f0a008ecacfae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469aea54f20344109644a38b7bd7af1955a10f5c13fad13577825010fea5ed81",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-10-20T00:13:22Z",
    "title_canon_sha256": "4128bef1318e857b7ffe6c3df97951ec64c0cf4904fd331afe85266daf534021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9710023",
    "kind": "arxiv",
    "version": 2
  }
}