Pith Number

pith:3W4WOYLD

pith:2007:3W4WOYLDMCP4WMLLR2S7D3U4EL

not attested not anchored not stored refs pending

Kouchnirenko type formulas for local invariants of plane analytic curves

Janusz Gwozdziewicz

arxiv:0707.3404 v1 · 2007-07-23 · 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{3W4WOYLDMCP4WMLLR2S7D3U4EL}

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	2026-05-18T03:49:22.704308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb9676163609fcb316b8ea5f1ee9c22c00d4c1ac5588d4d1244ec38921f8ace

Aliases

arxiv: 0707.3404 · arxiv_version: 0707.3404v1 · doi: 10.48550/arxiv.0707.3404 · pith_short_12: 3W4WOYLDMCP4 · pith_short_16: 3W4WOYLDMCP4WMLL · pith_short_8: 3W4WOYLD

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/3W4WOYLDMCP4WMLLR2S7D3U4EL \
  | 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: ddb9676163609fcb316b8ea5f1ee9c22c00d4c1ac5588d4d1244ec38921f8ace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f19d3d66c8bd9d2b358ef2c37432db846829e8df650fd07eec87c43f4e9013fe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-23T16:01:42Z",
    "title_canon_sha256": "6eecb2f9902133aeb0e8deadabd2528fcece6c2a4481888708fabdcdf5d442ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3404",
    "kind": "arxiv",
    "version": 1
  }
}