Pith Number

pith:T2MAIZ4B

pith:2017:T2MAIZ4B4M73ATH5P6AMSVVPKP

not attested not anchored not stored refs pending

On certain zeta functions associated with Beatty sequences

William D. Banks

arxiv:1705.09969 v1 · 2017-05-28 · 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{T2MAIZ4B4M73ATH5P6AMSVVPKP}

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	2026-05-18T00:43:34.068606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e98046781e33fb04cfd7f80c956af53e49ca97f2f15f8bddc666a5db566f613

Aliases

arxiv: 1705.09969 · arxiv_version: 1705.09969v1 · doi: 10.48550/arxiv.1705.09969 · pith_short_12: T2MAIZ4B4M73 · pith_short_16: T2MAIZ4B4M73ATH5 · pith_short_8: T2MAIZ4B

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/T2MAIZ4B4M73ATH5P6AMSVVPKP \
  | 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: 9e98046781e33fb04cfd7f80c956af53e49ca97f2f15f8bddc666a5db566f613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec36fba7b7d42ceb4421afb1d8f8ca7646b1d1779311ba5fcc1a2e48e1aadd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-28T17:51:47Z",
    "title_canon_sha256": "53c2cc7264c345fd65beb022402237009db2bbe758273dac8874a34b9da7d453"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09969",
    "kind": "arxiv",
    "version": 1
  }
}