Pith Number

pith:PQZHYFMX

pith:2000:PQZHYFMXZAFFUU3LYSA5GE5ERK

not attested not anchored not stored refs pending

Hyperelliptic jacobians and projective linear Galois groups

Yuri G. Zarhin

arxiv:math/0009123 v2 · 2000-09-12 · 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{PQZHYFMXZAFFUU3LYSA5GE5ERK}

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	2026-05-18T01:05:38.301158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c327c1597c80a5a536bc481d313a48a88a397d4e35477a3bb5e463980f61489

Aliases

arxiv: math/0009123 · arxiv_version: math/0009123v2 · doi: 10.48550/arxiv.math/0009123 · pith_short_12: PQZHYFMXZAFF · pith_short_16: PQZHYFMXZAFFUU3L · pith_short_8: PQZHYFMX

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/PQZHYFMXZAFFUU3LYSA5GE5ERK \
  | 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: 7c327c1597c80a5a536bc481d313a48a88a397d4e35477a3bb5e463980f61489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "448e3dbb86a2c6c4e8c3908e03559c666a2583cb0f006efc7d3e1cdb9c1709f2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-09-12T20:24:22Z",
    "title_canon_sha256": "61ae7e572df07a9fb6fe0bdac754c30f2cc9aaab9ec8f5969df73371c9e27d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009123",
    "kind": "arxiv",
    "version": 2
  }
}