Pith Number

pith:7IXKEGUK

pith:2007:7IXKEGUKIPU37OJFITBDUN3QYY

not attested not anchored not stored refs pending

Prescribing valuations of the order of a point in the reductions of abelian varieties and tori

Antonella Perucca

arxiv:0712.2812 v4 · 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{7IXKEGUKIPU37OJFITBDUN3QYY}

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	2026-07-04T15:15:00.811321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa2ea21a8a43e9bfb92544c23a3770c605affafa4faa3c62c8dcde4a3a2a9610

Aliases

arxiv: 0712.2812 · arxiv_version: 0712.2812v4 · doi: 10.48550/arxiv.0712.2812 · pith_short_12: 7IXKEGUKIPU3 · pith_short_16: 7IXKEGUKIPU37OJF · pith_short_8: 7IXKEGUK

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/7IXKEGUKIPU37OJFITBDUN3QYY \
  | 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: fa2ea21a8a43e9bfb92544c23a3770c605affafa4faa3c62c8dcde4a3a2a9610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60561041414b25c38fca52c46eeb593728f0d0f038cd986154f29b91ef55f99e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2007-12-17T20:48:30Z",
    "title_canon_sha256": "8c6f845fab6fe0d829c5181958c853413c6700cfa24a9dccc49ff0a5f4a7d388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2812",
    "kind": "arxiv",
    "version": 4
  }
}