Pith Number

pith:QWRIPRUM

pith:2010:QWRIPRUMEHSK7A4FZ6BB4S6I43

not attested not anchored not stored refs pending

On m-covering families of Beatty sequences with irrational moduli

Peter Hegarty

arxiv:1008.2295 v1 · 2010-08-13 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWRIPRUMEHSK7A4FZ6BB4S6I43}

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	2026-05-18T04:42:14.258482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a287c68c21e4af8385cf821e4bc8e6d5c40e07f146bddf9a3de18f63b7b743

Aliases

arxiv: 1008.2295 · arxiv_version: 1008.2295v1 · doi: 10.48550/arxiv.1008.2295 · pith_short_12: QWRIPRUMEHSK · pith_short_16: QWRIPRUMEHSK7A4F · pith_short_8: QWRIPRUM

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/QWRIPRUMEHSK7A4FZ6BB4S6I43 \
  | 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: 85a287c68c21e4af8385cf821e4bc8e6d5c40e07f146bddf9a3de18f63b7b743

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4130973933c7f29944b0ed8bdee83d65a392226e3ad3a60c707800da15427f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-13T11:21:13Z",
    "title_canon_sha256": "333e5e73abdee596ad426140e7f4e21d72dfa8d4150327c1550642402874a99f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2295",
    "kind": "arxiv",
    "version": 1
  }
}