Pith Number

pith:LYYRK7CD

pith:2012:LYYRK7CD3JI5THP6DQHSR4RCYG

not attested not anchored not stored refs pending

Piatetski-Shapiro sequences

Andreas J. Weingartner, Igor E. Shparlinski, J\"org Br\"udern, Roger C. Baker, William D. Banks

arxiv:1203.5884 v1 · 2012-03-27 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYYRK7CD3JI5THP6DQHSR4RCYG}

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	2026-05-18T03:59:13.160800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e31157c43da51d99dfe1c0f28f222c1b4bd9dfde700aaf2e4f8652c987831e7

Aliases

arxiv: 1203.5884 · arxiv_version: 1203.5884v1 · doi: 10.48550/arxiv.1203.5884 · pith_short_12: LYYRK7CD3JI5 · pith_short_16: LYYRK7CD3JI5THP6 · pith_short_8: LYYRK7CD

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/LYYRK7CD3JI5THP6DQHSR4RCYG \
  | 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: 5e31157c43da51d99dfe1c0f28f222c1b4bd9dfde700aaf2e4f8652c987831e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c3989237caf95f9c6cb3ebad6ae3b674eb701e21d8571853a66e6fd6103f20a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-27T07:31:35Z",
    "title_canon_sha256": "1550179c936ebef12a6ff4d5373c7e6f3f12cede42229193631d0349673701c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5884",
    "kind": "arxiv",
    "version": 1
  }
}