Pith Number

pith:4MZEUGQT

pith:2025:4MZEUGQTZ5XDFGBJKEPQ6K72S4

not attested not anchored not stored refs pending

Random Schr\"odinger operators and convolution on wreath products

Adam Arras

arxiv:2505.22485 v1 · 2025-05-28 · math.PR · math.GR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MZEUGQTZ5XDFGBJKEPQ6K72S4}

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	2026-07-05T11:11:25.010740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3324a1a13cf6e329829511f0f2bfa973b4c46092e8d2b917203aa932ab4f862

Aliases

arxiv: 2505.22485 · arxiv_version: 2505.22485v1 · doi: 10.48550/arxiv.2505.22485 · pith_short_12: 4MZEUGQTZ5XD · pith_short_16: 4MZEUGQTZ5XDFGBJ · pith_short_8: 4MZEUGQT

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/4MZEUGQTZ5XDFGBJKEPQ6K72S4 \
  | 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: e3324a1a13cf6e329829511f0f2bfa973b4c46092e8d2b917203aa932ab4f862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21618fafe82618f88407b86bd7deec9c977d063e0203df18ccfa0fa81325c975",
    "cross_cats_sorted": [
      "math.GR",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-28T15:35:45Z",
    "title_canon_sha256": "7c758afd068e11bca1166c32a2285a755c3ec05d9e1f8329959afd69d6a3669e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22485",
    "kind": "arxiv",
    "version": 1
  }
}