Pith Number

pith:PQ45SBEY

pith:2006:PQ45SBEYGDBV22VNH235Z4VND4

not attested not anchored not stored refs pending

Picard group of moduli of hyperelliptic curves

Filippo Viviani, Sergey Gorchinskiy

arxiv:math/0609705 v2 · 2006-09-25 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQ45SBEYGDBV22VNH235Z4VND4}

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	2026-05-18T00:19:54.162442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c39d9049830c35d6aad3eb7dcf2ad1f0f6926fa9b82aa2b1e102a3050e82919

Aliases

arxiv: math/0609705 · arxiv_version: math/0609705v2 · doi: 10.48550/arxiv.math/0609705 · pith_short_12: PQ45SBEYGDBV · pith_short_16: PQ45SBEYGDBV22VN · pith_short_8: PQ45SBEY

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/PQ45SBEYGDBV22VNH235Z4VND4 \
  | 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: 7c39d9049830c35d6aad3eb7dcf2ad1f0f6926fa9b82aa2b1e102a3050e82919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a08c3d08cf22abce50e73c4b6b0052a6111e20707f762e6ded1e32362e11d37",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-09-25T17:23:20Z",
    "title_canon_sha256": "b13f3a18c56411c76aea62cd26680cf642a3ef94b33039d904401744ce700a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609705",
    "kind": "arxiv",
    "version": 2
  }
}