Pith Number

pith:6DT7KMBP

pith:2007:6DT7KMBPBQPKVPYMODGX75J2GN

not attested not anchored not stored refs pending

p^k-torsion of genus two curves over F_{p^m}

Michael E. Zieve

arxiv:0705.3932 v3 · 2007-05-27 · 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{6DT7KMBPBQPKVPYMODGX75J2GN}

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	2026-05-18T03:11:22.512329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0e7f5302f0c1eaabf0c70cd7ff53a335351ca734bbf2b883c02d5ef9d31a480

Aliases

arxiv: 0705.3932 · arxiv_version: 0705.3932v3 · doi: 10.48550/arxiv.0705.3932 · pith_short_12: 6DT7KMBPBQPK · pith_short_16: 6DT7KMBPBQPKVPYM · pith_short_8: 6DT7KMBP

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/6DT7KMBPBQPKVPYMODGX75J2GN \
  | 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: f0e7f5302f0c1eaabf0c70cd7ff53a335351ca734bbf2b883c02d5ef9d31a480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14bc2dd74aa02061b9d5a29a183ff8237b970e84bbfbc6086322ef7e6af9619f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-05-27T06:01:26Z",
    "title_canon_sha256": "763109b11aa4790836a27f4fb44a6502e4db133370b3a89255411bcd79aabde9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3932",
    "kind": "arxiv",
    "version": 3
  }
}