Pith Number

pith:VIW5JW2D

pith:2019:VIW5JW2DU35QHGIVEIOGNTUNCG

not attested not anchored not stored refs pending

Patterns of primes in the Sato-Tate conjecture

Alexandru Pascadi, Ashwin Sah, Junyao Peng, Michael Kural, Nate Gillman

arxiv:1907.08285 v1 · 2019-07-18 · 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{VIW5JW2DU35QHGIVEIOGNTUNCG}

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	2026-07-05T00:30:18.457364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa2dd4db43a6fb039915221c66ce8d11a8a0ae4c2497c0776582e3ede40419e7

Aliases

arxiv: 1907.08285 · arxiv_version: 1907.08285v1 · doi: 10.48550/arxiv.1907.08285 · pith_short_12: VIW5JW2DU35Q · pith_short_16: VIW5JW2DU35QHGIV · pith_short_8: VIW5JW2D

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/VIW5JW2DU35QHGIVEIOGNTUNCG \
  | 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: aa2dd4db43a6fb039915221c66ce8d11a8a0ae4c2497c0776582e3ede40419e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b68fded9aa345dcba850756d11b9c61e60d0587258d244dec3f812232ce6564",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-18T21:17:41Z",
    "title_canon_sha256": "9dcd05762d2f4242da3f787f0fd4501579216bb268551492a3db4fb83967623a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08285",
    "kind": "arxiv",
    "version": 1
  }
}