Pith Number

pith:VOEX4TND

pith:2015:VOEX4TNDLJU6FJWZOORMSGHH7E

not attested not anchored not stored refs pending

Logarithmic good reduction of abelian varieties

Alberto Bellardini, Arne Smeets

arxiv:1512.02464 v2 · 2015-12-08 · math.AG · 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{VOEX4TNDLJU6FJWZOORMSGHH7E}

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	2026-05-18T01:01:36.062192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab897e4da35a69e2a6d973a2c918e7f9092b41ed6c5f0b8a084c43f056ba6cf2

Aliases

arxiv: 1512.02464 · arxiv_version: 1512.02464v2 · doi: 10.48550/arxiv.1512.02464 · pith_short_12: VOEX4TNDLJU6 · pith_short_16: VOEX4TNDLJU6FJWZ · pith_short_8: VOEX4TND

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/VOEX4TNDLJU6FJWZOORMSGHH7E \
  | 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: ab897e4da35a69e2a6d973a2c918e7f9092b41ed6c5f0b8a084c43f056ba6cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b4fada187afa9c8585b6f98477402213cab5dd43732b6fa10057bf9fec01a53",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-08T13:45:24Z",
    "title_canon_sha256": "3ec93947a9ebbb5dcc0d4b7a5a7064c700ff7857fa71fabbc565bf3478b47ea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02464",
    "kind": "arxiv",
    "version": 2
  }
}