Pith Number

pith:LK7ZQ3L6

pith:2013:LK7ZQ3L64ODO2XA2TKHNSRVXLD

not attested not anchored not stored refs pending

On the Sato-Tate conjecture for non-generic abelian surfaces

Christian Johansson

arxiv:1307.6478 v5 · 2013-07-24 · 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{LK7ZQ3L64ODO2XA2TKHNSRVXLD}

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	2026-05-18T01:30:49.458003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5abf986d7ee386ed5c1a9a8ed946b758c3b76ca0ea69fc9d33e0b67b367d5229

Aliases

arxiv: 1307.6478 · arxiv_version: 1307.6478v5 · doi: 10.48550/arxiv.1307.6478 · pith_short_12: LK7ZQ3L64ODO · pith_short_16: LK7ZQ3L64ODO2XA2 · pith_short_8: LK7ZQ3L6

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/LK7ZQ3L64ODO2XA2TKHNSRVXLD \
  | 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: 5abf986d7ee386ed5c1a9a8ed946b758c3b76ca0ea69fc9d33e0b67b367d5229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59395d3b9140c65a124c3a25e03cfca98a00dde2ff71c60dd21c72509564d251",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-24T16:14:39Z",
    "title_canon_sha256": "515e35a5c6efe56af49d60dcccf6bf23496c86977e2aba72b910922b6c0bdcd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6478",
    "kind": "arxiv",
    "version": 5
  }
}