Pith Number

pith:QS3S7K2T

pith:2012:QS3S7K2T4AY6CZXKH2CYD6VIBQ

not attested not anchored not stored refs pending

An Arakelov-Theoretic Approach to Na\"ive Heights on Hyperelliptic Jacobians

David Holmes

arxiv:1207.5948 v3 · 2012-07-25 · 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{QS3S7K2T4AY6CZXKH2CYD6VIBQ}

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	2026-05-18T02:39:16.959978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b72fab53e031e166ea3e8581faa80c1355cd63dfbfa359a3b83b42795a8273

Aliases

arxiv: 1207.5948 · arxiv_version: 1207.5948v3 · doi: 10.48550/arxiv.1207.5948 · pith_short_12: QS3S7K2T4AY6 · pith_short_16: QS3S7K2T4AY6CZXK · pith_short_8: QS3S7K2T

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/QS3S7K2T4AY6CZXKH2CYD6VIBQ \
  | 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: 84b72fab53e031e166ea3e8581faa80c1355cd63dfbfa359a3b83b42795a8273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42ad8ba0e496ac0551fc3229686d8334fa69e782bdc64e563420232b3aeef096",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-25T10:36:20Z",
    "title_canon_sha256": "c3d3edbdaf2d72789a7d665441997879d5535d172fbf66971ed1403378676796"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5948",
    "kind": "arxiv",
    "version": 3
  }
}