Pith Number

pith:FTR2ZEZN

pith:2011:FTR2ZEZNCOFQAKR3JR7XZZDP6T

not attested not anchored not stored refs pending

Sato-Tate distributions and Galois endomorphism modules in genus 2

Andrew V. Sutherland, Francesc Fit\'e, Kiran S. Kedlaya, Victor Rotger

arxiv:1110.6638 v2 · 2011-10-30 · 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{FTR2ZEZNCOFQAKR3JR7XZZDP6T}

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	2026-05-17T23:53:19.126057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ce3ac932d138b002a3b4c7f7ce46ff4f369e002f3bc24eec6a3c0ae75d980b8

Aliases

arxiv: 1110.6638 · arxiv_version: 1110.6638v2 · doi: 10.48550/arxiv.1110.6638 · pith_short_12: FTR2ZEZNCOFQ · pith_short_16: FTR2ZEZNCOFQAKR3 · pith_short_8: FTR2ZEZN

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/FTR2ZEZNCOFQAKR3JR7XZZDP6T \
  | 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: 2ce3ac932d138b002a3b4c7f7ce46ff4f369e002f3bc24eec6a3c0ae75d980b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6ff3c022d62d724bb9a3bf1d5c812608cccf0d69065785cd96b868563cd64e2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-30T19:30:45Z",
    "title_canon_sha256": "de56abc84ba53b83ae51a6ca5e8fe457aa19e28d181f25f4ca603e941ef75a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6638",
    "kind": "arxiv",
    "version": 2
  }
}