Pith Number

pith:3R75ZOC2

pith:2019:3R75ZOC2YKMGOJ2OGP6SMOPURQ

not attested not anchored not stored refs pending

On the number of gaps of sequences with Poissonian Pair Correlations

Christoph Aistleitner, Paolo Leonetti, Paolo Minelli, Thomas Lachmann

arxiv:1908.06292 v1 · 2019-08-17 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3R75ZOC2YKMGOJ2OGP6SMOPURQ}

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	2026-07-04T23:58:14.299098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7fdcb85ac29867274e33fd2639f48c28d3711b45a43f2d03cda826737275aa

Aliases

arxiv: 1908.06292 · arxiv_version: 1908.06292v1 · doi: 10.48550/arxiv.1908.06292 · pith_short_12: 3R75ZOC2YKMG · pith_short_16: 3R75ZOC2YKMGOJ2O · pith_short_8: 3R75ZOC2

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/3R75ZOC2YKMGOJ2OGP6SMOPURQ \
  | 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: dc7fdcb85ac29867274e33fd2639f48c28d3711b45a43f2d03cda826737275aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6099e48dc27e4e76d45e3baee78447be2673d80d8c57d7620f5deac25aa2c85b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-17T10:51:45Z",
    "title_canon_sha256": "9d88a571867543f18aa5b98fc0e234e071b5377ed99e2382b10755d04dba8f26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06292",
    "kind": "arxiv",
    "version": 1
  }
}