Pith Number

pith:WGRTJRDD

pith:2020:WGRTJRDDFWICQL2J4IBDDY7AJ2

not attested not anchored not stored refs pending

Machine-Learning the Sato--Tate Conjecture

Kyu-Hwan Lee, Thomas Oliver, Yang-Hui He

arxiv:2010.01213 v2 · 2020-10-02 · math.NT · hep-th · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGRTJRDDFWICQL2J4IBDDY7AJ2}

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.

Cited by

1 paper in Pith

Machine learning automorphic forms for black holes

Receipt and verification

First computed	2026-07-05T06:30:23.075676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1a334c4632d90282f49e20231e3e04e9a554f07c0c48b49d48d935b1d673aae

Aliases

arxiv: 2010.01213 · arxiv_version: 2010.01213v2 · doi: 10.48550/arxiv.2010.01213 · pith_short_12: WGRTJRDDFWIC · pith_short_16: WGRTJRDDFWICQL2J · pith_short_8: WGRTJRDD

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/WGRTJRDDFWICQL2J4IBDDY7AJ2 \
  | 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: b1a334c4632d90282f49e20231e3e04e9a554f07c0c48b49d48d935b1d673aae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bfb7a7a3898bddbde89003e09f7c043eb59edc1201557cc2f63510496a250cd",
    "cross_cats_sorted": [
      "hep-th",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-10-02T21:57:47Z",
    "title_canon_sha256": "d380ba9d763d095478be7a5ddcd9f5bb1eb4bd7508ad5238300adf048c17e4c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.01213",
    "kind": "arxiv",
    "version": 2
  }
}