Pith Number

pith:IH5OPQYO

pith:2020:IH5OPQYODWLNKI3UA2VHBWLHEP

not attested not anchored not stored refs pending

The Structure of the Group of Rational Points of an Abelian Variety over a Finite Field

Caleb Springer

arxiv:2006.00637 v2 · 2020-05-31 · 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{IH5OPQYODWLNKI3UA2VHBWLHEP}

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	2026-07-05T02:39:41.355102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41fae7c30e1d96d5237406aa70d96723e8cadd2b10e2304352c8d4c7b630d1e9

Aliases

arxiv: 2006.00637 · arxiv_version: 2006.00637v2 · doi: 10.48550/arxiv.2006.00637 · pith_short_12: IH5OPQYODWLN · pith_short_16: IH5OPQYODWLNKI3U · pith_short_8: IH5OPQYO

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/IH5OPQYODWLNKI3UA2VHBWLHEP \
  | 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: 41fae7c30e1d96d5237406aa70d96723e8cadd2b10e2304352c8d4c7b630d1e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57b7c759979229af2abf9011712536aebedef9d2095a8297ec948b96cf969563",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-05-31T23:19:00Z",
    "title_canon_sha256": "41ab6e375c317222a159784460e1da0d3e5f32f0a70101e7b6ef8ed817ced6a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.00637",
    "kind": "arxiv",
    "version": 2
  }
}