Pith Number

pith:RYEV43OH

pith:2004:RYEV43OHI3XO6MWAG3GBBRM4T4

not attested not anchored not stored refs pending

Hyperelliptic addition law

Dmitry Leykin, Victor Buchstaber

arxiv:math-ph/0409033 v1 · 2004-09-15 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYEV43OHI3XO6MWAG3GBBRM4T4}

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	2026-05-18T01:38:33.384541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e095e6dc746eeef32c036cc10c59c9f30cafb57eb835cb7be46fcbb90d57e74

Aliases

arxiv: math-ph/0409033 · arxiv_version: math-ph/0409033v1 · doi: 10.48550/arxiv.math-ph/0409033 · pith_short_12: RYEV43OHI3XO · pith_short_16: RYEV43OHI3XO6MWA · pith_short_8: RYEV43OH

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/RYEV43OHI3XO6MWAG3GBBRM4T4 \
  | 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: 8e095e6dc746eeef32c036cc10c59c9f30cafb57eb835cb7be46fcbb90d57e74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "965bbc86a2954d9c75618d5be7a1f64f2836b0d0e0033e672e70e0f422eaab67",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-09-15T18:49:11Z",
    "title_canon_sha256": "022818925ceeb790cb3fc9b87ef2f7815bf8f0a1dcccb68f381013de60ef4c00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0409033",
    "kind": "arxiv",
    "version": 1
  }
}