Pith Number

pith:4EDISY46

pith:2018:4EDISY46FJ2QMBBLPJR7YJJMJ5

not attested not anchored not stored refs pending

Tate Conjecture And Finiteness of Abelian Varieties over Finite Field

Anningzhe Gao

arxiv:1808.04783 v3 · 2018-08-14 · 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{4EDISY46FJ2QMBBLPJR7YJJMJ5}

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	2026-05-17T23:56:53.042923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10689639e2a7506042b7a63fc252c4f53f9b1dcae4df9c68999e3fee00470df

Aliases

arxiv: 1808.04783 · arxiv_version: 1808.04783v3 · doi: 10.48550/arxiv.1808.04783 · pith_short_12: 4EDISY46FJ2Q · pith_short_16: 4EDISY46FJ2QMBBL · pith_short_8: 4EDISY46

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/4EDISY46FJ2QMBBLPJR7YJJMJ5 \
  | 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: e10689639e2a7506042b7a63fc252c4f53f9b1dcae4df9c68999e3fee00470df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c07b12c30a7df56bc19a06878478e307bf6009d657cd47dde7c3d78cd57740",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-14T16:24:16Z",
    "title_canon_sha256": "d49e9506bcc87ba465f1fbc8617d7f05e9a032d9ea94f3300b6f579ca5fec900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04783",
    "kind": "arxiv",
    "version": 3
  }
}