Pith Number

pith:X253WM6O

pith:2018:X253WM6OT44N5JWNPFUEOYB6U3

not attested not anchored not stored refs pending

Exponents for the Equidistribution of Shears and Applications

Alex Kontorovich, Dubi Kelmer

arxiv:1802.09452 v1 · 2018-02-26 · 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{X253WM6OT44N5JWNPFUEOYB6U3}

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	2026-05-18T00:22:33.670117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bebbbb33ce9f38dea6cd796847603ea6dffbff05f37e9d1e9f69498d18a46546

Aliases

arxiv: 1802.09452 · arxiv_version: 1802.09452v1 · doi: 10.48550/arxiv.1802.09452 · pith_short_12: X253WM6OT44N · pith_short_16: X253WM6OT44N5JWN · pith_short_8: X253WM6O

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/X253WM6OT44N5JWNPFUEOYB6U3 \
  | 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: bebbbb33ce9f38dea6cd796847603ea6dffbff05f37e9d1e9f69498d18a46546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6665091115ef89ae4b0e4776f8e0e8e2a2e0aaefa553f05fa592a8a39b1a63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-26T17:07:11Z",
    "title_canon_sha256": "aae44a108ca25957dc1d1815c1b915b9c95fd94b7dd6c184ae7378721b1e1a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09452",
    "kind": "arxiv",
    "version": 1
  }
}