Pith Number

pith:PXJQKWRA

pith:2014:PXJQKWRAFZID2BX27RTOQ7K25M

not attested not anchored not stored refs pending

Sequences modulo one: convergence of local statistics

Ilya Vinogradov

arxiv:1410.4346 v1 · 2014-10-16 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXJQKWRAFZID2BX27RTOQ7K25M}

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	2026-05-18T02:39:56.368344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd3055a202e503d06fafc66e87d5aeb1f9a786c60b017252723b3bb702bcf12

Aliases

arxiv: 1410.4346 · arxiv_version: 1410.4346v1 · doi: 10.48550/arxiv.1410.4346 · pith_short_12: PXJQKWRAFZID · pith_short_16: PXJQKWRAFZID2BX2 · pith_short_8: PXJQKWRA

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/PXJQKWRAFZID2BX27RTOQ7K25M \
  | 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: 7dd3055a202e503d06fafc66e87d5aeb1f9a786c60b017252723b3bb702bcf12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b856fd692cb9caf6deb63ac1ef40c424b808e32b1aad044ca98cea1c2ede56",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-16T09:28:31Z",
    "title_canon_sha256": "40207b171b204e7b41daf2a5161ae9a31eef9b7ff0f0a787c423f6bced42ce38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4346",
    "kind": "arxiv",
    "version": 1
  }
}