Pith Number

pith:EI2LGVAS

pith:2009:EI2LGVASTMWSJKZSR7V62ULBHH

not attested not anchored not stored refs pending

Polar Invariants of Plane Curve Singularities: Intersection Theoretical Approach

Andrzej Lenarcik, Arkadiusz P{\l}oski, Janusz Gwo\'zdziewicz

arxiv:0901.1552 v1 · 2009-01-12 · 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{EI2LGVASTMWSJKZSR7V62ULBHH}

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	2026-05-18T03:49:22.629061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2234b354129b2d24ab328febed516139d62654b29bacb241d54f0b52dea44c29

Aliases

arxiv: 0901.1552 · arxiv_version: 0901.1552v1 · doi: 10.48550/arxiv.0901.1552 · pith_short_12: EI2LGVASTMWS · pith_short_16: EI2LGVASTMWSJKZS · pith_short_8: EI2LGVAS

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/EI2LGVASTMWSJKZSR7V62ULBHH \
  | 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: 2234b354129b2d24ab328febed516139d62654b29bacb241d54f0b52dea44c29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "685f48d38925d9a451dd4753b37ac4bc0d9dc0184c229a1e6bd2dbadc429e028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-01-12T11:11:51Z",
    "title_canon_sha256": "e83b69d9cf3f14299eebe848a886c975d33fd04c9fa78ad359ae9296680a0fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1552",
    "kind": "arxiv",
    "version": 1
  }
}