Pith Number

pith:UYCYPB6L

pith:2026:UYCYPB6LTSN4IDVC4GDSBFDYRI

not attested not anchored not stored refs pending

Certified Finite-State Induction for a Perturbed Hofstadter Recursion

Marco Mantovanelli

arxiv:2603.29622 v2 · 2026-03-31 · 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{UYCYPB6LTSN4IDVC4GDSBFDYRI}

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	2026-05-20T00:05:43.985786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6058787cb9c9bc40ea2e1872094788a2433bbe5b6324675a484304360b2f9e6

Aliases

arxiv: 2603.29622 · arxiv_version: 2603.29622v2 · doi: 10.48550/arxiv.2603.29622 · pith_short_12: UYCYPB6LTSN4 · pith_short_16: UYCYPB6LTSN4IDVC · pith_short_8: UYCYPB6L

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/UYCYPB6LTSN4IDVC4GDSBFDYRI \
  | 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: a6058787cb9c9bc40ea2e1872094788a2433bbe5b6324675a484304360b2f9e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9251bd9e2e9b273b035b367630e0b68c760e4c581d956142715a4b2c99eac7c2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-03-31T11:44:45Z",
    "title_canon_sha256": "8b1b994a18e64c6e2681241cb442d82155ee31f4f3c0e275966d515e11c99a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.29622",
    "kind": "arxiv",
    "version": 2
  }
}