Pith Number

pith:B7GTPK3I

pith:2017:B7GTPK3I7N3L3V2UCTY7YO3ASL

not attested not anchored not stored refs pending

Piatetski-Shapiro sequences via Beatty sequences

Lukas Spiegelhofer

arxiv:1707.05094 v1 · 2017-07-17 · 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{B7GTPK3I7N3L3V2UCTY7YO3ASL}

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	2026-05-18T00:40:11.406711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fcd37ab68fb76bdd75414f1fc3b6092eac74e0c770da3ee231f1f46d1b7f739

Aliases

arxiv: 1707.05094 · arxiv_version: 1707.05094v1 · doi: 10.48550/arxiv.1707.05094 · pith_short_12: B7GTPK3I7N3L · pith_short_16: B7GTPK3I7N3L3V2U · pith_short_8: B7GTPK3I

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/B7GTPK3I7N3L3V2UCTY7YO3ASL \
  | 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: 0fcd37ab68fb76bdd75414f1fc3b6092eac74e0c770da3ee231f1f46d1b7f739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "224587c1407f6615d8e33073273d36bc711576173f15221ced9a95548ee53b0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-17T11:11:33Z",
    "title_canon_sha256": "b6d73f2880d784f62e5811477529eec03c13228ea517842701ae3563633242d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05094",
    "kind": "arxiv",
    "version": 1
  }
}