Pith Number

pith:7XNTNDKQ

pith:2019:7XNTNDKQKZNBHHODFSESWT5LFV

not attested not anchored not stored refs pending

On the Uniform Distribution (mod 1) of the Farey Sequence, quadratic Farey and Riemann sums with a remark on local integrals of $\zeta(s)$

Michel Weber

arxiv:1906.07628 v1 · 2019-06-18 · 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{7XNTNDKQKZNBHHODFSESWT5LFV}

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	2026-05-17T23:42:59.680362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fddb368d50565a139dc32c892b4fab2d4bf65ad5c9c9943cbaab9e2c5e72aeee

Aliases

arxiv: 1906.07628 · arxiv_version: 1906.07628v1 · doi: 10.48550/arxiv.1906.07628 · pith_short_12: 7XNTNDKQKZNB · pith_short_16: 7XNTNDKQKZNBHHOD · pith_short_8: 7XNTNDKQ

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/7XNTNDKQKZNBHHODFSESWT5LFV \
  | 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: fddb368d50565a139dc32c892b4fab2d4bf65ad5c9c9943cbaab9e2c5e72aeee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20e696502934389f21848eb6a79406fc7a1f1597ad3cf42650cbad259cfaa57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-18T15:03:14Z",
    "title_canon_sha256": "75c301a2d19181d02ff54723b3e64f38abb0d0d1cf96dacea10a3724eec1fb4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07628",
    "kind": "arxiv",
    "version": 1
  }
}