Pith Number

pith:UKPNN2HC

pith:2015:UKPNN2HCRMI3PIWIOHABWFUJCS

not attested not anchored not stored refs pending

Fourier pairs of discrete support with little structure

Mihail N. Kolountzakis

arxiv:1502.06283 v3 · 2015-02-22 · 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{UKPNN2HCRMI3PIWIOHABWFUJCS}

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.

Cited by

1 paper in Pith

On almost periodicity in crystalline measures

Receipt and verification

First computed	2026-05-18T02:02:07.887879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a29ed6e8e28b11b7a2c871c01b168914be8e047e376ef7dec1983fb5a1fcb949

Aliases

arxiv: 1502.06283 · arxiv_version: 1502.06283v3 · doi: 10.48550/arxiv.1502.06283 · pith_short_12: UKPNN2HCRMI3 · pith_short_16: UKPNN2HCRMI3PIWI · pith_short_8: UKPNN2HC

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/UKPNN2HCRMI3PIWIOHABWFUJCS \
  | 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: a29ed6e8e28b11b7a2c871c01b168914be8e047e376ef7dec1983fb5a1fcb949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ad8bf8d17d6cb115011bd3b0f29f79925e75df53ce00d658c18f8340b85dccf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-02-22T22:58:46Z",
    "title_canon_sha256": "45faf9000ebfc28193fdf420c31c95a65b90ce2ec5b0809852a2356ed713ce21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06283",
    "kind": "arxiv",
    "version": 3
  }
}