Pith Number

pith:UA245Z6W

pith:2026:UA245Z6WVFXMS7VWHJ6N5YHH7O

not attested not anchored not stored refs pending

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography

George C. Turcas, Mugurel Barcau, Razvan Barbulescu, Vicentiu Pasol

arxiv:2601.17142 v2 · 2026-01-23 · math.NT · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UA245Z6WVFXMS7VWHJ6N5YHH7O}

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	2026-06-09T01:04:40.912785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a035cee7d6a96ec97eb63a7cdee0e7fb8d5f2ccf3f8fdfa77a197bb3cdb7f73c

Aliases

arxiv: 2601.17142 · arxiv_version: 2601.17142v2 · doi: 10.48550/arxiv.2601.17142 · pith_short_12: UA245Z6WVFXM · pith_short_16: UA245Z6WVFXMS7VW · pith_short_8: UA245Z6W

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/UA245Z6WVFXMS7VWHJ6N5YHH7O \
  | 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: a035cee7d6a96ec97eb63a7cdee0e7fb8d5f2ccf3f8fdfa77a197bb3cdb7f73c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a94a3273ae08f5ddb768ac6f797ee7bccc5bd79ef1382c3ec09457a5b7b3f8f",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-01-23T19:40:04Z",
    "title_canon_sha256": "b8cbdbd58dd61b2209d6db97dea7e2e80700d19efa8ee709c1153171f440a38b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.17142",
    "kind": "arxiv",
    "version": 2
  }
}