Pith Number

pith:7FEX3HLO

pith:2026:7FEX3HLOPXXI7UDF7WNXOBZE2X

not attested not anchored not stored refs pending

Dyadic Frequency Laws, Clock Dynamics, and Defect Scaling in a Perturbed Hofstadter $Q$-Recursion

Marco Mantovanelli

arxiv:2603.16111 v2 · 2026-03-17 · math.CO · 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{7FEX3HLOPXXI7UDF7WNXOBZE2X}

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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

On a perturbed Hofstadter $Q$-recursion

Receipt and verification

First computed	2026-06-02T02:04:16.226812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9497d9d6e7dee8fd065fd9b770724d5c834cd20f73d8ed0c7898d4332e14f01

Aliases

arxiv: 2603.16111 · arxiv_version: 2603.16111v2 · doi: 10.48550/arxiv.2603.16111 · pith_short_12: 7FEX3HLOPXXI · pith_short_16: 7FEX3HLOPXXI7UDF · pith_short_8: 7FEX3HLO

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/7FEX3HLOPXXI7UDF7WNXOBZE2X \
  | 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: f9497d9d6e7dee8fd065fd9b770724d5c834cd20f73d8ed0c7898d4332e14f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07cd6148607810e13feeaff548c82f4c3cdf6c84f61507376d50faad0fbf2f6c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-03-17T04:25:53Z",
    "title_canon_sha256": "d953b144cef755035970ab205ea9bc612450b40f5b465398eb26811cfb654571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.16111",
    "kind": "arxiv",
    "version": 2
  }
}