Pith Number

pith:WO6RGEHP

pith:2025:WO6RGEHP2R2YRWKLGGU3C6ECRU

not attested not anchored not stored refs pending

On the Golden Ratio and Stable Self-Application

Milan Rosko

arxiv:2510.08934 v3 · 2025-10-10 · math.LO · cs.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WO6RGEHP2R2YRWKLGGU3C6ECRU}

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

An Intuitionistic Glance at Primes

Receipt and verification

First computed	2026-06-05T01:15:16.931745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3bd1310efd47588d94b31a9b178828d2cc16b4c38f2de8c5fe1a66d2f8729f2

Aliases

arxiv: 2510.08934 · arxiv_version: 2510.08934v3 · doi: 10.48550/arxiv.2510.08934 · pith_short_12: WO6RGEHP2R2Y · pith_short_16: WO6RGEHP2R2YRWKL · pith_short_8: WO6RGEHP

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/WO6RGEHP2R2YRWKLGGU3C6ECRU \
  | 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: b3bd1310efd47588d94b31a9b178828d2cc16b4c38f2de8c5fe1a66d2f8729f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2384c1b23f0ec60370fac90e406bbbfb03e417baf604e4d176fa117c63e87438",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-10-10T02:23:55Z",
    "title_canon_sha256": "80d7dfaff218376510838810484ab47f5a834c3e31a45376b4581ffc0d7f1d93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.08934",
    "kind": "arxiv",
    "version": 3
  }
}