Pith Number

pith:SE6UGSDB

pith:2021:SE6UGSDBG32BMG3GLIMNREZCPL

not attested not anchored not stored refs pending

An unconditional explicit bound on the error term in the Sato-Tate conjecture

Alexandra Hoey, Fernando Trejos Su\'arez, Jonas Iskander, Steven Jin

arxiv:2108.03520 v3 · 2021-08-07 · 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{SE6UGSDBG32BMG3GLIMNREZCPL}

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	2026-07-05T03:51:09.178326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

913d43486136f4161b665a18d893227af8a6deefe698f853e3c5ba41e4df6155

Aliases

arxiv: 2108.03520 · arxiv_version: 2108.03520v3 · doi: 10.48550/arxiv.2108.03520 · pith_short_12: SE6UGSDBG32B · pith_short_16: SE6UGSDBG32BMG3G · pith_short_8: SE6UGSDB

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/SE6UGSDBG32BMG3GLIMNREZCPL \
  | 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: 913d43486136f4161b665a18d893227af8a6deefe698f853e3c5ba41e4df6155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8048fb5546c10548c1281447d97ef41e0957b4d5295d40c3daff4cde861505a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-07T20:39:18Z",
    "title_canon_sha256": "14fc557bdc2c8f15d674815350b869aa01fbb356af3c066da30d14b80ec84831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.03520",
    "kind": "arxiv",
    "version": 3
  }
}