Pith Number

pith:6SDKTMV2

pith:2011:6SDKTMV2CBAN3H5RES5HB7QBEU

not attested not anchored not stored refs pending

An algebraic Sato-Tate group and Sato-Tate conjecture

Grzegorz Banaszak, Kiran S. Kedlaya

arxiv:1109.4449 v2 · 2011-09-21 · 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{6SDKTMV2CBAN3H5RES5HB7QBEU}

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	2026-05-18T03:42:32.286765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f486a9b2ba1040dd9fb124ba70fe0125022de55f17ce35ea981dd4cb19f2eea9

Aliases

arxiv: 1109.4449 · arxiv_version: 1109.4449v2 · doi: 10.48550/arxiv.1109.4449 · pith_short_12: 6SDKTMV2CBAN · pith_short_16: 6SDKTMV2CBAN3H5R · pith_short_8: 6SDKTMV2

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/6SDKTMV2CBAN3H5RES5HB7QBEU \
  | 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: f486a9b2ba1040dd9fb124ba70fe0125022de55f17ce35ea981dd4cb19f2eea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11910a868b95650e41dbcb68465f85533eaf1c4eb045cfa01fb1ce9ce6a959ea",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-21T00:36:48Z",
    "title_canon_sha256": "8b6080bea8ca23c3e5373651a3e18461ac25a16dc95c821f4f025e132abcae13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4449",
    "kind": "arxiv",
    "version": 2
  }
}