Pith Number

pith:7FUGZWI2

pith:2004:7FUGZWI2D7LXWCOYTJATTSZT67

not attested not anchored not stored refs pending

The period-index problem in WC-groups II: abelian varieties

Pete L. Clark

arxiv:math/0406135 v1 · 2004-06-08 · 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{7FUGZWI2D7LXWCOYTJATTSZT67}

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	2026-07-04T14:38:41.609417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9686cd91a1fd77b09d89a4139cb33f7c8969e4347a65f5a5e008a64642fa44b

Aliases

arxiv: math/0406135 · arxiv_version: math/0406135v1 · doi: 10.48550/arxiv.math/0406135 · pith_short_12: 7FUGZWI2D7LX · pith_short_16: 7FUGZWI2D7LXWCOY · pith_short_8: 7FUGZWI2

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/7FUGZWI2D7LXWCOYTJATTSZT67 \
  | 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: f9686cd91a1fd77b09d89a4139cb33f7c8969e4347a65f5a5e008a64642fa44b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2eb31991e3c8219b9972491a8f37d53e63dee5fa09b31594562a04a838e860",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-06-08T02:01:00Z",
    "title_canon_sha256": "29b568dace769ccbbfb4f1a79cbc9eef1c86cf0633081d8f0fca6e10c62f543e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406135",
    "kind": "arxiv",
    "version": 1
  }
}