Pith Number

pith:PZT4ZKD4

pith:2015:PZT4ZKD43L7TQTCMHFG4EWOVRP

not attested not anchored not stored refs pending

Divisibility properties of sporadic Ap\'ery-like numbers

Amita Malik, Armin Straub

arxiv:1508.00297 v1 · 2015-08-03 · 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{PZT4ZKD43L7TQTCMHFG4EWOVRP}

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	2026-05-18T01:35:58.488919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e67cca87cdaff384c4c394dc259d58bfaaabdfa03073fdd06963385d821083f

Aliases

arxiv: 1508.00297 · arxiv_version: 1508.00297v1 · doi: 10.48550/arxiv.1508.00297 · pith_short_12: PZT4ZKD43L7T · pith_short_16: PZT4ZKD43L7TQTCM · pith_short_8: PZT4ZKD4

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/PZT4ZKD43L7TQTCMHFG4EWOVRP \
  | 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: 7e67cca87cdaff384c4c394dc259d58bfaaabdfa03073fdd06963385d821083f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e588890774d61f349f0367106595ad274c6a2e39ed6868598421a4459813b9f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-03T01:30:46Z",
    "title_canon_sha256": "0a4dd78c03f4cb90b2030619eb830b1033ba9fe50222972ca60fe1d25d923903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00297",
    "kind": "arxiv",
    "version": 1
  }
}