Pith Number

pith:IWNCCX23

pith:2025:IWNCCX23DPMF5UXBYVSUDTQRWS

not attested not anchored not stored refs pending

Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence

Faruk Alpay, Hamdi Al Alakkad

arxiv:2507.16620 v1 · 2025-07-22 · 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{IWNCCX23DPMF5UXBYVSUDTQRWS}

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

Transfinite Fixed Points in Alpay Algebra as Ordinal Game Equilibria in Dependent Type Theory

Receipt and verification

First computed	2026-07-05T11:41:27.756882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

459a215f5b1bd85ed2e1c56541ce11b480ebb7d03079b02b8217eafaff83c313

Aliases

arxiv: 2507.16620 · arxiv_version: 2507.16620v1 · doi: 10.48550/arxiv.2507.16620 · pith_short_12: IWNCCX23DPMF · pith_short_16: IWNCCX23DPMF5UXB · pith_short_8: IWNCCX23

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/IWNCCX23DPMF5UXBYVSUDTQRWS \
  | 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: 459a215f5b1bd85ed2e1c56541ce11b480ebb7d03079b02b8217eafaff83c313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adaeabdfb02f2fe09143b3bbe14418ea5b6928d4695bcd96dd3a3d4d5e59a163",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2025-07-22T14:15:11Z",
    "title_canon_sha256": "d6ef5b5b6ce15cd5c7c33c3a1fba9ca853b24117e238296fc02256d052b57b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16620",
    "kind": "arxiv",
    "version": 1
  }
}