Pith Number

pith:J7SEXHG2

pith:2016:J7SEXHG24ZR7BYJ5CXY7DF25BH

not attested not anchored not stored refs pending

On the local-global divisibility over abelian varieties

Florence Gillibert, Gabriele Ranieri

arxiv:1612.00058 v1 · 2016-11-30 · 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{J7SEXHG24ZR7BYJ5CXY7DF25BH}

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	2026-05-18T00:56:06.919396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe44b9cdae663f0e13d15f1f1975d09ff8cec33ed6f915ba21511a3dc46e514

Aliases

arxiv: 1612.00058 · arxiv_version: 1612.00058v1 · doi: 10.48550/arxiv.1612.00058 · pith_short_12: J7SEXHG24ZR7 · pith_short_16: J7SEXHG24ZR7BYJ5 · pith_short_8: J7SEXHG2

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/J7SEXHG24ZR7BYJ5CXY7DF25BH \
  | 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: 4fe44b9cdae663f0e13d15f1f1975d09ff8cec33ed6f915ba21511a3dc46e514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71f2faec9cb3ab691ba4239b0a47614da4e979658df3d7d349dfacb4a65ff5db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-30T22:12:48Z",
    "title_canon_sha256": "501661dea53afef40096ef61147c9e41459c8b41c90147ae9e2363d56aa12efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00058",
    "kind": "arxiv",
    "version": 1
  }
}