Pith Number

pith:CAJB56AZ

pith:2013:CAJB56AZCQHUWCMVHK44ICY5PC

not attested not anchored not stored refs pending

Rank of divisors on hyperelliptic curves and graphs under specialization

Kazuhiko Yamaki, Shu Kawaguchi

arxiv:1304.6979 v3 · 2013-04-25 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAJB56AZCQHUWCMVHK44ICY5PC}

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	2026-05-18T01:37:02.666034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10121ef819140f4b09953ab9c40b1d78a97266cb2a7e4f6428013a3efcb67729

Aliases

arxiv: 1304.6979 · arxiv_version: 1304.6979v3 · doi: 10.48550/arxiv.1304.6979 · pith_short_12: CAJB56AZCQHU · pith_short_16: CAJB56AZCQHUWCMV · pith_short_8: CAJB56AZ

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/CAJB56AZCQHUWCMVHK44ICY5PC \
  | 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: 10121ef819140f4b09953ab9c40b1d78a97266cb2a7e4f6428013a3efcb67729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6e0c7ba16848f7ae7c122be246f926c33226c112f07d0fe15757d85244bda0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-25T19:12:01Z",
    "title_canon_sha256": "bbc70172e2b1bf3990801174d4d9dd3be0143b442d6180e432054c36994f9dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6979",
    "kind": "arxiv",
    "version": 3
  }
}