Pith Number

pith:B2UWDO4B

pith:2015:B2UWDO4BZYH4MXFVMFUVTVHDR5

not attested not anchored not stored refs pending

Motivic Serre group, algebraic Sato-Tate group and Sato-Tate conjecture

Grzegorz Banaszak, Kiran S. Kedlaya

arxiv:1506.02177 v2 · 2015-06-06 · 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{B2UWDO4BZYH4MXFVMFUVTVHDR5}

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	2026-05-18T01:20:01.692480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ea961bb81ce0fc65cb5616959d4e38f7ed7e27bb04339c1ff829999cb32d618

Aliases

arxiv: 1506.02177 · arxiv_version: 1506.02177v2 · doi: 10.48550/arxiv.1506.02177 · pith_short_12: B2UWDO4BZYH4 · pith_short_16: B2UWDO4BZYH4MXFV · pith_short_8: B2UWDO4B

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/B2UWDO4BZYH4MXFVMFUVTVHDR5 \
  | 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: 0ea961bb81ce0fc65cb5616959d4e38f7ed7e27bb04339c1ff829999cb32d618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f28d3f7f412fbf59d9daa14d2153e6f13508e88428a97243e61c02562ca2b69",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-06T18:01:08Z",
    "title_canon_sha256": "99588911d28214da4a3572235618b521d897e9f1af54357a3940ad1e6cc8ec40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02177",
    "kind": "arxiv",
    "version": 2
  }
}