Pith Number

pith:AU4HUXRB

pith:2013:AU4HUXRB5OY4H2XKJXHKKEVC66

not attested not anchored not stored refs pending

An application of the effective Sato-Tate conjecture

Alina Bucur, Kiran S. Kedlaya

arxiv:1301.0139 v2 · 2013-01-01 · 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{AU4HUXRB5OY4H2XKJXHKKEVC66}

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	2026-05-18T01:55:58.425376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05387a5e21ebb1c3eaea4dcea512a2f7a947bd7e31fa0800e50f7a479490fab0

Aliases

arxiv: 1301.0139 · arxiv_version: 1301.0139v2 · doi: 10.48550/arxiv.1301.0139 · pith_short_12: AU4HUXRB5OY4 · pith_short_16: AU4HUXRB5OY4H2XK · pith_short_8: AU4HUXRB

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/AU4HUXRB5OY4H2XKJXHKKEVC66 \
  | 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: 05387a5e21ebb1c3eaea4dcea512a2f7a947bd7e31fa0800e50f7a479490fab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d12ab9f5415ceff9bce1eb92cf9a2ec163b54c825c7c99549ff51959f44e6c1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-01T21:52:21Z",
    "title_canon_sha256": "eca0479fea7999ce8be45c914e6bd3365518a6d9a8a74075104166e71d203478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0139",
    "kind": "arxiv",
    "version": 2
  }
}