Pith Number

pith:HLWB4LUG

pith:2005:HLWB4LUG7BFTEXYUUWJNW24CSN

not attested not anchored not stored refs pending

Higher-order Alexander invariants of plane algebraic curves

Constance Leidy, Laurentiu Maxim

arxiv:math/0509462 v2 · 2005-09-21 · math.AT · 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{HLWB4LUG7BFTEXYUUWJNW24CSN}

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	2026-05-18T03:58:49.006271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aec1e2e86f84b325f14a592db6b82935cce1cfeccf4a9c643fd553d755a6cf5

Aliases

arxiv: math/0509462 · arxiv_version: math/0509462v2 · doi: 10.48550/arxiv.math/0509462 · pith_short_12: HLWB4LUG7BFT · pith_short_16: HLWB4LUG7BFTEXYU · pith_short_8: HLWB4LUG

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/HLWB4LUG7BFTEXYUUWJNW24CSN \
  | 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: 3aec1e2e86f84b325f14a592db6b82935cce1cfeccf4a9c643fd553d755a6cf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea5c159bd09e7853d2b301e04e7bb25873a9b9d04cf7a49ee83d51f64c00c781",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-09-21T00:36:46Z",
    "title_canon_sha256": "2f999f7505df75a15cca37600b9b411647b3a7f048bcb23848ecc857654f91d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509462",
    "kind": "arxiv",
    "version": 2
  }
}