Pith Number

pith:RK4C57UD

pith:2021:RK4C57UDXEG2XVEZPOTKK6JV6P

not attested not anchored not stored refs pending

New representations for all sporadic Ap\'ery-like sequences, with applications to congruences

Ofir Gorodetsky

arxiv:2102.11839 v2 · 2021-02-23 · 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{RK4C57UDXEG2XVEZPOTKK6JV6P}

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	2026-07-05T09:56:45.007496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ab82efe83b90dabd4997ba6a57935f3c3185b0a56cceb2bc42453238ea5feaa

Aliases

arxiv: 2102.11839 · arxiv_version: 2102.11839v2 · doi: 10.48550/arxiv.2102.11839 · pith_short_12: RK4C57UDXEG2 · pith_short_16: RK4C57UDXEG2XVEZ · pith_short_8: RK4C57UD

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/RK4C57UDXEG2XVEZPOTKK6JV6P \
  | 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: 8ab82efe83b90dabd4997ba6a57935f3c3185b0a56cceb2bc42453238ea5feaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "606fe0fd71c0a06cfa79e9e1e7c82f74a6ddb93c529388f5307220bd2df3368a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-02-23T18:14:26Z",
    "title_canon_sha256": "4f24996314960eb074232db05f82bfa1f2b6011d80719578b24614d8cdc4a57c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.11839",
    "kind": "arxiv",
    "version": 2
  }
}