Pith Number

pith:PFTV3QFA

pith:2012:PFTV3QFAGPY574NLB3RJBQSMEX

not attested not anchored not stored refs pending

Abelian varieties over number fields, tame ramification and big Galois image

Christian Kappen, Sara Arias-de-Reyna

arxiv:1204.5441 v3 · 2012-04-24 · 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{PFTV3QFAGPY574NLB3RJBQSMEX}

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	2026-05-18T03:43:07.213635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79675dc0a033f1dff1ab0ee290c24c25f5dd29fcb798e2e94e5f6d8face8bdc8

Aliases

arxiv: 1204.5441 · arxiv_version: 1204.5441v3 · doi: 10.48550/arxiv.1204.5441 · pith_short_12: PFTV3QFAGPY5 · pith_short_16: PFTV3QFAGPY574NL · pith_short_8: PFTV3QFA

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/PFTV3QFAGPY574NLB3RJBQSMEX \
  | 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: 79675dc0a033f1dff1ab0ee290c24c25f5dd29fcb798e2e94e5f6d8face8bdc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1855098531bc25aea66c7692bcb468ac883fe3279b41da4618c68d744d4d29cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-24T17:33:25Z",
    "title_canon_sha256": "6abc6887dbab286352f56f56055e0101c6746f72aea8ad40e36b374a74172fd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5441",
    "kind": "arxiv",
    "version": 3
  }
}