Pith Number

pith:YLPU4TU4

pith:2026:YLPU4TU45AM5Q7C52OR7Q44K3A

not attested not anchored not stored refs pending

Weak Inhomogeneous Poissonian Pair Correlation and Equidistribution

Qing-Long Zhou, Zhiqin Tang

arxiv:2607.10773 v1 · 2026-07-12 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLPU4TU45AM5Q7C52OR7Q44K3A}

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	2026-07-14T01:21:39.355278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2df4e4e9ce819d87c5dd3a3f8738ad837c35ee8986d5eb2cd9f7023f22c20b6

Aliases

arxiv: 2607.10773 · arxiv_version: 2607.10773v1 · doi: 10.48550/arxiv.2607.10773 · pith_short_12: YLPU4TU45AM5 · pith_short_16: YLPU4TU45AM5Q7C5 · pith_short_8: YLPU4TU4

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/YLPU4TU45AM5Q7C52OR7Q44K3A \
  | 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: c2df4e4e9ce819d87c5dd3a3f8738ad837c35ee8986d5eb2cd9f7023f22c20b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9793ebde26cda25e335d67514c2aa36a808a75d1dc14ee68e344f769b2a7cb93",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-12T14:03:33Z",
    "title_canon_sha256": "5510334ab2893a350a1fddbe775664dce51ee88f154c2ef010eda7b94107fbdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10773",
    "kind": "arxiv",
    "version": 1
  }
}