Pith Number

pith:Q6L4VMJ6

pith:2024:Q6L4VMJ6HLIBABF3VEV57DMM4Y

not attested not anchored not stored refs pending

A Deceptively Simple Quadratic Recurrence

Steven Finch

arxiv:2409.03510 v5 · 2024-09-05 · math.NT · cs.DM · 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{Q6L4VMJ6HLIBABF3VEV57DMM4Y}

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

Popa's "Recurrent Sequences" and Reciprocity

Receipt and verification

First computed	2026-07-05T09:32:11.739206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8797cab13e3ad01004bba92bdf8d8ce63c5b362328b85b91b221807bc200269a

Aliases

arxiv: 2409.03510 · arxiv_version: 2409.03510v5 · doi: 10.48550/arxiv.2409.03510 · pith_short_12: Q6L4VMJ6HLIB · pith_short_16: Q6L4VMJ6HLIBABF3 · pith_short_8: Q6L4VMJ6

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/Q6L4VMJ6HLIBABF3VEV57DMM4Y \
  | 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: 8797cab13e3ad01004bba92bdf8d8ce63c5b362328b85b91b221807bc200269a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69690d0f7f42297d836a0cd750b9cca1bae06f0b0d7cdd41217777bfe6521df5",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-05T13:21:12Z",
    "title_canon_sha256": "c9faa9064c2f8aacfe850f0ba26a341f1458111ca8d10eee6d9a3dcfe9875cd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.03510",
    "kind": "arxiv",
    "version": 5
  }
}