Pith Number

pith:HOEVL4C3

pith:2014:HOEVL4C36ABEIALSBIO5SOO66J

not attested not anchored not stored refs pending

On the Tate-Shafarevich group of Abelian schemes over higher dimensional bases over finite fields

Timo Keller

arxiv:1410.5293 v2 · 2014-10-20 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOEVL4C36ABEIALSBIO5SOO66J}

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	2026-05-18T01:13:45.029036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b8955f05bf0024401720a1dd939def26d210db9314e0e17f6b59fac059ee7ec

Aliases

arxiv: 1410.5293 · arxiv_version: 1410.5293v2 · doi: 10.48550/arxiv.1410.5293 · pith_short_12: HOEVL4C36ABE · pith_short_16: HOEVL4C36ABEIALS · pith_short_8: HOEVL4C3

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/HOEVL4C36ABEIALSBIO5SOO66J \
  | 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: 3b8955f05bf0024401720a1dd939def26d210db9314e0e17f6b59fac059ee7ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b6f6bea0eb88f1b45c1d1a80ad09d6f173052d1ce5aa0298347a7a6a74d16c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-20T14:36:54Z",
    "title_canon_sha256": "539222872f9f24ec108cbb5f1b3e1e496a99684dc903dfa2309f291cc977120d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5293",
    "kind": "arxiv",
    "version": 2
  }
}