Pith Number

pith:JRLD5KIH

pith:2024:JRLD5KIHYVZB6ZGKCWVI7USLTQ

not attested not anchored not stored refs pending

Enumeration of Rational Cuspidal Curves via the WDVV equation

Anantadulal Paul, Apratim Choudhury, Indranil Biswas, Ritwik Mukherjee

arxiv:2409.10238 v2 · 2024-09-16 · math.AG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRLD5KIHYVZB6ZGKCWVI7USLTQ}

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	2026-07-05T10:43:01.420398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c563ea907c5721f64ca15aa8fd24b9c0adfca4eeffe060df520bfbd8016c218

Aliases

arxiv: 2409.10238 · arxiv_version: 2409.10238v2 · doi: 10.48550/arxiv.2409.10238 · pith_short_12: JRLD5KIHYVZB · pith_short_16: JRLD5KIHYVZB6ZGK · pith_short_8: JRLD5KIH

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/JRLD5KIHYVZB6ZGKCWVI7USLTQ \
  | 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: 4c563ea907c5721f64ca15aa8fd24b9c0adfca4eeffe060df520bfbd8016c218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd20a688cdf5c670738924b25ff8e22a23b129caf7146b12121bfdd34e494ae0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-09-16T12:40:35Z",
    "title_canon_sha256": "4e79a95b283d3ddbce441f19b688388ccd7027f84a27905320fd211973972a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.10238",
    "kind": "arxiv",
    "version": 2
  }
}