Pith Number

pith:WOLYV65O

pith:2024:WOLYV65OSAMJ46QZAVL7TKHOI4

not attested not anchored not stored refs pending

On a fibre bundle version of the Caporaso-Harris formula

Apratim Choudhury, Indranil Biswas, Nilkantha Das, Ritwik Mukherjee

arxiv:2407.14832 v1 · 2024-07-20 · 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{WOLYV65OSAMJ46QZAVL7TKHOI4}

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	2026-07-05T08:46:34.713785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3978afbae90189e7a190557f9a8ee4737591e0bde9c98e7ecd5fdc4c9e19ef7

Aliases

arxiv: 2407.14832 · arxiv_version: 2407.14832v1 · doi: 10.48550/arxiv.2407.14832 · pith_short_12: WOLYV65OSAMJ · pith_short_16: WOLYV65OSAMJ46QZ · pith_short_8: WOLYV65O

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/WOLYV65OSAMJ46QZAVL7TKHOI4 \
  | 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: b3978afbae90189e7a190557f9a8ee4737591e0bde9c98e7ecd5fdc4c9e19ef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e104bd0dc5f4d640f99c38090d3bba5e49ffa6a9099439a4fa28030fe70a47a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-07-20T10:22:59Z",
    "title_canon_sha256": "d09cb80c1e7bcf830ec5054d96a1a85568b5ff58d376ff55151b86dfd5548cf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.14832",
    "kind": "arxiv",
    "version": 1
  }
}