Pith Number

pith:QKVMMJ4C

pith:2005:QKVMMJ4CMDU2JLRDGDTX2SPUCK

not attested not anchored not stored refs pending

Bilinear recurrences and addition formulae for hyperelliptic sigma functions

Andrew N.W. Hone, Harry W. Braden, Victor Z. Enolskii

arxiv:math/0501162 v4 · 2005-01-11 · math.NT · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKVMMJ4CMDU2JLRDGDTX2SPUCK}

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	2026-05-18T01:38:26.962016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82aac6278260e9a4ae2330e77d49f41293552596dc0746a5378cf96dfa5d8d5c

Aliases

arxiv: math/0501162 · arxiv_version: math/0501162v4 · doi: 10.48550/arxiv.math/0501162 · pith_short_12: QKVMMJ4CMDU2 · pith_short_16: QKVMMJ4CMDU2JLRD · pith_short_8: QKVMMJ4C

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/QKVMMJ4CMDU2JLRDGDTX2SPUCK \
  | 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: 82aac6278260e9a4ae2330e77d49f41293552596dc0746a5378cf96dfa5d8d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eddd93c6c1e96eb7399a9ee14c20ea069dc1b53f70e0db38db46b7f58cb5b4f5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-01-11T16:44:14Z",
    "title_canon_sha256": "8f192ebaf38e92956ee555ab95c4704e13849628388a860be033e2bf6b7f86cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501162",
    "kind": "arxiv",
    "version": 4
  }
}