Pith Number

pith:UM6BL6BS

pith:2004:UM6BL6BSD63A366OUFPLXF5MP4

not attested not anchored not stored refs pending

Bounds for torsion on abelian varieties with integral moduli

Pete L. Clark

arxiv:math/0407264 v2 · 2004-07-15 · math.NT · 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{UM6BL6BSD63A366OUFPLXF5MP4}

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	2026-07-04T14:38:55.516375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a33c15f8321fb60dfbcea15ebb97ac7f23353ff7b080ffeec2aa766181a3c8e7

Aliases

arxiv: math/0407264 · arxiv_version: math/0407264v2 · doi: 10.48550/arxiv.math/0407264 · pith_short_12: UM6BL6BSD63A · pith_short_16: UM6BL6BSD63A366O · pith_short_8: UM6BL6BS

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/UM6BL6BSD63A366OUFPLXF5MP4 \
  | 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: a33c15f8321fb60dfbcea15ebb97ac7f23353ff7b080ffeec2aa766181a3c8e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ced2cf1da553a6fceccb3011bf50fd5025f8d16a3d8486bd033b4bf731b8274",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-07-15T18:42:28Z",
    "title_canon_sha256": "c180d1693cb7c0f7c04f61677217d408ff58c4f21ecce2745f0245e1431134e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407264",
    "kind": "arxiv",
    "version": 2
  }
}