Pith Number

pith:LLTICYJ7

pith:2025:LLTICYJ7KVTSADM3ZZADA5AJQF

not attested not anchored not stored refs pending

On a Family of Nested Recurrences and Their Arithmetical Solutions

Benoit Cloitre

arxiv:2506.00093 v1 · 2025-05-30 · 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{LLTICYJ7KVTSADM3ZZADA5AJQF}

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	2026-07-05T11:13:28.965032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae681613f5567200d9bce40307409816a3142aa588829e5f667a53c82240da7

Aliases

arxiv: 2506.00093 · arxiv_version: 2506.00093v1 · doi: 10.48550/arxiv.2506.00093 · pith_short_12: LLTICYJ7KVTS · pith_short_16: LLTICYJ7KVTSADM3 · pith_short_8: LLTICYJ7

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/LLTICYJ7KVTSADM3ZZADA5AJQF \
  | 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: 5ae681613f5567200d9bce40307409816a3142aa588829e5f667a53c82240da7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e5f7fe9e4c938958f05df153d476ea9a1974c8edbf3743e6aa5ef1ffed48a65",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-30T10:09:14Z",
    "title_canon_sha256": "d3ac00474d1c1eda44bf5271a4f2a7f3984c8af01294747ca87d263c6bfb29d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00093",
    "kind": "arxiv",
    "version": 1
  }
}