Pith Number

pith:3SY7KYEP

pith:2019:3SY7KYEPHMPAYMSQR7G3C27NF2

not attested not anchored not stored refs pending

Kuroda's formula and arithmetic statistics

Djordjo Milovic, Stephanie Chan

arxiv:1905.09745 v1 · 2019-05-23 · 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{3SY7KYEPHMPAYMSQR7G3C27NF2}

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	2026-07-05T05:15:07.808505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcb1f5608f3b1e0c32508fcdb16bed2eafc86d7d3e45c02edb83208ee6b45aaf

Aliases

arxiv: 1905.09745 · arxiv_version: 1905.09745v1 · doi: 10.48550/arxiv.1905.09745 · pith_short_12: 3SY7KYEPHMPA · pith_short_16: 3SY7KYEPHMPAYMSQ · pith_short_8: 3SY7KYEP

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/3SY7KYEPHMPAYMSQR7G3C27NF2 \
  | 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: dcb1f5608f3b1e0c32508fcdb16bed2eafc86d7d3e45c02edb83208ee6b45aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0bf5abd87611d5226deb53094264136fb47955789f7c45e345829c4a8db1729",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-23T16:08:38Z",
    "title_canon_sha256": "311c5341162596dd89f067824ba0b616c15dbfabb866f3ea6cbfb6eb1d18c7d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09745",
    "kind": "arxiv",
    "version": 1
  }
}