Pith Number

pith:YQ35R7YX

pith:2013:YQ35R7YX2PSN35D2O6LPEAG3IM

not attested not anchored not stored refs pending

Lacunary sequences and permutations

Christoph Aistleitner, Istvan Berkes, Robert Tichy

arxiv:1312.0666 v2 · 2013-12-03 · 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{YQ35R7YX2PSN35D2O6LPEAG3IM}

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	2026-05-18T03:02:46.400482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c437d8ff17d3e4ddf47a7796f200db430e1c408180abdc59efdf50fb0f348683

Aliases

arxiv: 1312.0666 · arxiv_version: 1312.0666v2 · doi: 10.48550/arxiv.1312.0666 · pith_short_12: YQ35R7YX2PSN · pith_short_16: YQ35R7YX2PSN35D2 · pith_short_8: YQ35R7YX

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/YQ35R7YX2PSN35D2O6LPEAG3IM \
  | 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: c437d8ff17d3e4ddf47a7796f200db430e1c408180abdc59efdf50fb0f348683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f23bcb34b6e2891e610d5a18c24ea091909a425682935cfa4facee622043a2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-03T00:30:18Z",
    "title_canon_sha256": "a350319e8aad27858c41e49e5827362408b444c24daa8899ea8d425cdda55e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0666",
    "kind": "arxiv",
    "version": 2
  }
}