Pith Number

pith:KZ5AHGJK

pith:2016:KZ5AHGJK7GLOWT4QTUQPUDDTBL

not attested not anchored not stored refs pending

Finding Linear-Recurrent Solutions to Hofstadter-Like Recurrences Using Symbolic Computation

Nathan Fox

arxiv:1609.06342 v1 · 2016-09-20 · 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{KZ5AHGJK7GLOWT4QTUQPUDDTBL}

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	2026-05-18T01:04:08.541651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

567a03992af996eb4f909d20fa0c730ad6b9a94ead5b6e3b0018144c3fcb2dcf

Aliases

arxiv: 1609.06342 · arxiv_version: 1609.06342v1 · doi: 10.48550/arxiv.1609.06342 · pith_short_12: KZ5AHGJK7GLO · pith_short_16: KZ5AHGJK7GLOWT4Q · pith_short_8: KZ5AHGJK

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/KZ5AHGJK7GLOWT4QTUQPUDDTBL \
  | 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: 567a03992af996eb4f909d20fa0c730ad6b9a94ead5b6e3b0018144c3fcb2dcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d9d7fd82cf3ed3b428c404a95e057536be8e84c458754290c6b9c4538d3993",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-20T20:24:43Z",
    "title_canon_sha256": "825035da29d2d2ab44c6ad962973c8ee8995f3b6995014da3835ab0660d7341f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06342",
    "kind": "arxiv",
    "version": 1
  }
}