Pith Number

pith:5QF5RFMK

pith:2013:5QF5RFMK7EKZLPNQ2VLHTNDKF2

not attested not anchored not stored refs pending

Arithmetic properties of Ap\'ery-like numbers

Eric Delaygue

arxiv:1310.4131 v2 · 2013-10-15 · 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{5QF5RFMK7EKZLPNQ2VLHTNDKF2}

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.

Cited by

1 paper in Pith

Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix Fields

Receipt and verification

First computed	2026-05-17T23:53:35.275274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec0bd8958af91595bdb0d55679b46a2ea987354fc6f584b8dfb32480547a34a8

Aliases

arxiv: 1310.4131 · arxiv_version: 1310.4131v2 · doi: 10.48550/arxiv.1310.4131 · pith_short_12: 5QF5RFMK7EKZ · pith_short_16: 5QF5RFMK7EKZLPNQ · pith_short_8: 5QF5RFMK

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/5QF5RFMK7EKZLPNQ2VLHTNDKF2 \
  | 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: ec0bd8958af91595bdb0d55679b46a2ea987354fc6f584b8dfb32480547a34a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520c849cf2313a523a4c22f3eae1c4bfce9b6800e61bd89c44dd46ea5dd75f84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-15T18:01:17Z",
    "title_canon_sha256": "2163e300379e564d738c729c9326c787404b37fba5cd3c95349cdfa3fef44354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4131",
    "kind": "arxiv",
    "version": 2
  }
}