Pith Number

pith:WLQJ3G4Z

pith:2025:WLQJ3G4ZFB7CXTQWJHA4CSKZIE

not attested not anchored not stored refs pending

Equivariant Modular Functions and Quantizations of Continued Fractions

A. Muhammed Uludag, Mustafa Topkara

arxiv:2509.06036 v1 · 2025-09-07 · 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{WLQJ3G4ZFB7CXTQWJHA4CSKZIE}

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	2026-07-05T12:06:28.695096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e09d9b99287e2bce1649c1c14959410c415a4c3be4cfe592b1fe7645d9138d

Aliases

arxiv: 2509.06036 · arxiv_version: 2509.06036v1 · doi: 10.48550/arxiv.2509.06036 · pith_short_12: WLQJ3G4ZFB7C · pith_short_16: WLQJ3G4ZFB7CXTQW · pith_short_8: WLQJ3G4Z

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/WLQJ3G4ZFB7CXTQWJHA4CSKZIE \
  | 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: b2e09d9b99287e2bce1649c1c14959410c415a4c3be4cfe592b1fe7645d9138d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a731474f622926181a25abdf6d11f28f3e972dd9e5f80c7e2d003f3f5f10df07",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-07T12:37:38Z",
    "title_canon_sha256": "c34d9ea9544be3847791f3a8df457c3f6aafa5d24dd7377cd6c069c7e8b9004b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06036",
    "kind": "arxiv",
    "version": 1
  }
}