Pith Number

pith:VWRZCWFS

pith:2020:VWRZCWFSF7FPVIIJP5XVVYTUM6

not attested not anchored not stored refs pending

Symmetric Determinantal Singularities I: The Multiplicity of the Polar Curve

Michelle Molino, Terence Gaffney

arxiv:2003.12543 v1 · 2020-03-27 · 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{VWRZCWFSF7FPVIIJP5XVVYTUM6}

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

The Euler characteristic of Milnor fibers over 2-generic symmetric determinantal varieties

Receipt and verification

First computed	2026-07-05T00:50:59.187384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ada39158b22fcafaa1097f6f5ae27467919d59a66fcb8539aac09c970b540f4f

Aliases

arxiv: 2003.12543 · arxiv_version: 2003.12543v1 · doi: 10.48550/arxiv.2003.12543 · pith_short_12: VWRZCWFSF7FP · pith_short_16: VWRZCWFSF7FPVIIJ · pith_short_8: VWRZCWFS

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/VWRZCWFSF7FPVIIJP5XVVYTUM6 \
  | 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: ada39158b22fcafaa1097f6f5ae27467919d59a66fcb8539aac09c970b540f4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49dc2c0d3920846167f22e33de0015e84f1c8ceebf7c23cff0017dd7f460c089",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-03-27T17:16:42Z",
    "title_canon_sha256": "e925e1e723f63d20d92e8b7f1fe3f5b36cb1e1b9b5d80f023f3cb686be610c1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.12543",
    "kind": "arxiv",
    "version": 1
  }
}