Pith Number

pith:Y6PCK77Y

pith:2011:Y6PCK77YCE6MYYWMZHESEVGSXF

not attested not anchored not stored refs pending

On the generalised Tate conjecture for products of elliptic curves over finite fields

Bruno Kahn (IMJ)

arxiv:1101.1730 v1 · 2011-01-10 · 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{Y6PCK77YCE6MYYWMZHESEVGSXF}

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	2026-05-18T04:31:51.838342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c79e257ff8113ccc62ccc9c92254d2b95ebb3f7839cac6f2ba49d040d15ab307

Aliases

arxiv: 1101.1730 · arxiv_version: 1101.1730v1 · doi: 10.48550/arxiv.1101.1730 · pith_short_12: Y6PCK77YCE6M · pith_short_16: Y6PCK77YCE6MYYWM · pith_short_8: Y6PCK77Y

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/Y6PCK77YCE6MYYWMZHESEVGSXF \
  | 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: c79e257ff8113ccc62ccc9c92254d2b95ebb3f7839cac6f2ba49d040d15ab307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02472d9b3f9badf44ab829e7b20be5d138784e459c496f8c53294ca3fc8a18ec",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-10T08:52:33Z",
    "title_canon_sha256": "a3e36b6d1d9f7a5f819e1c64bbb1447b23776c8cc759065b29e440dfe812212e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1730",
    "kind": "arxiv",
    "version": 1
  }
}