Pith Number

pith:TEVYFWHA

pith:2000:TEVYFWHATP3M6HCTA2MWDEAVY5

not attested not anchored not stored refs pending

Quadratic vanishing cycles, reduction curves and reduction of the monodromy group of plane curve singularities

Norbert A'Campo

arxiv:math/0006124 v1 · 2000-06-18 · math.AG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEVYFWHATP3M6HCTA2MWDEAVY5}

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	2026-07-04T14:34:33.983265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

992b82d8e09bf6cf1c530699619015c76bf5630ad7f5d468ea552db3f015abcc

Aliases

arxiv: math/0006124 · arxiv_version: math/0006124v1 · doi: 10.48550/arxiv.math/0006124 · pith_short_12: TEVYFWHATP3M · pith_short_16: TEVYFWHATP3M6HCT · pith_short_8: TEVYFWHA

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/TEVYFWHATP3M6HCTA2MWDEAVY5 \
  | 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: 992b82d8e09bf6cf1c530699619015c76bf5630ad7f5d468ea552db3f015abcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "091819bc4cd43f811cfd9f1ef4b9e3f610b39f48889fc8c34bd4c40f855992a2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-06-18T14:42:55Z",
    "title_canon_sha256": "1531662dc55123b6ad1e9d51a7ff07aca3fceef6848a6cd43d8baa387aa72dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0006124",
    "kind": "arxiv",
    "version": 1
  }
}