Pith Number

pith:VX3F6DIR

pith:2025:VX3F6DIREZP5BM34AJM52HPYIG

not attested not anchored not stored refs pending

Spectral analysis of $q$-deformed unitary ensembles with the Al-Salam--Carlitz weight

Jaeseong Oh, Sung-Soo Byun, Yeong-Gwang Jung

arxiv:2507.18042 v1 · 2025-07-24 · math-ph · math.CO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VX3F6DIREZP5BM34AJM52HPYIG}

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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.

Receipt and verification

First computed	2026-07-05T11:42:39.991497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf65f0d11265fd0b37c0259dd1df841b171acbb82c0b2bff0c10fa5436b85e7

Aliases

arxiv: 2507.18042 · arxiv_version: 2507.18042v1 · doi: 10.48550/arxiv.2507.18042 · pith_short_12: VX3F6DIREZP5 · pith_short_16: VX3F6DIREZP5BM34 · pith_short_8: VX3F6DIR

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/VX3F6DIREZP5BM34AJM52HPYIG \
  | 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: adf65f0d11265fd0b37c0259dd1df841b171acbb82c0b2bff0c10fa5436b85e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d53b9c25b9fbf633c893eeac81175492d80ce47e4a6c922ac4fa033f9465c652",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-24T02:29:51Z",
    "title_canon_sha256": "4ad1cd2d6b0fa985e1936601d0b104958ec0c40e48ed7f8150e8e8eb7ab2dc3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18042",
    "kind": "arxiv",
    "version": 1
  }
}