Pith Number

pith:3ARB77OY

pith:2007:3ARB77OY4KCEWFEN3JRRLAUS4U

not attested not anchored not stored refs pending

Two variants of the support problem for products of abelian varieties and tori

Antonella Perucca

arxiv:0712.2815 v3 · 2007-12-17 · 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{3ARB77OY4KCEWFEN3JRRLAUS4U}

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	2026-07-04T15:37:46.181934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8221ffdd8e2844b148dda63158292e532e43c33d723969bf85ba1f4f7532305

Aliases

arxiv: 0712.2815 · arxiv_version: 0712.2815v3 · doi: 10.48550/arxiv.0712.2815 · pith_short_12: 3ARB77OY4KCE · pith_short_16: 3ARB77OY4KCEWFEN · pith_short_8: 3ARB77OY

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/3ARB77OY4KCEWFEN3JRRLAUS4U \
  | 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: d8221ffdd8e2844b148dda63158292e532e43c33d723969bf85ba1f4f7532305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e8126d4e7f9b8462045d3c3e81a9816fafef69960d54511a17f628844c4ef76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2007-12-17T20:58:32Z",
    "title_canon_sha256": "f02d71509d26a86ce79f109792283b1758e7f1281edc3fa2522d61fe28909126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2815",
    "kind": "arxiv",
    "version": 3
  }
}