Pith Number

pith:J2ALZ4DT

pith:2013:J2ALZ4DTZ5BEWTV4MABZ2V4BQQ

not attested not anchored not stored refs pending

A bound for the Milnor number of plane curve singularities

Arkadiusz P{\l}oski

arxiv:1305.5102 v1 · 2013-05-22 · 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{J2ALZ4DTZ5BEWTV4MABZ2V4BQQ}

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	2026-05-18T03:25:13.581415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e80bcf073cf424b4ebc60039d57818431406930e002ea4bfaa15074e0258698

Aliases

arxiv: 1305.5102 · arxiv_version: 1305.5102v1 · doi: 10.48550/arxiv.1305.5102 · pith_short_12: J2ALZ4DTZ5BE · pith_short_16: J2ALZ4DTZ5BEWTV4 · pith_short_8: J2ALZ4DT

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/J2ALZ4DTZ5BEWTV4MABZ2V4BQQ \
  | 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: 4e80bcf073cf424b4ebc60039d57818431406930e002ea4bfaa15074e0258698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f501b78be59106c951e60d1175293e92b6ab63d5a4da4429b072ed771fc9090d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-22T12:23:13Z",
    "title_canon_sha256": "90409e29177b76f89abb2f8222f4c23bd519a62c59b4cde89b08248fdc15c8d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5102",
    "kind": "arxiv",
    "version": 1
  }
}