Pith Number

pith:PYRD53J5

pith:2025:PYRD53J5OXBXVCYLANBLNXSAHZ

not attested not anchored not stored refs pending

Permutation-Invariant Spectral Learning via Dyson Diffusion

Alja\v{z} Godec, Arnaud Doucet, Cai Dieball, Constantin Kogler, George Deligiannidis, Renaud Lambiotte, Tassilo Schwarz

arxiv:2510.08535 v2 · 2025-10-09 · stat.ML · cs.LG · 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{PYRD53J5OXBXVCYLANBLNXSAHZ}

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	2026-05-29T02:05:36.968036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e223eed3d75c37a8b0b0342b6de403e791fd375a66187fb96d85bf3e80eb512

Aliases

arxiv: 2510.08535 · arxiv_version: 2510.08535v2 · doi: 10.48550/arxiv.2510.08535 · pith_short_12: PYRD53J5OXBX · pith_short_16: PYRD53J5OXBXVCYL · pith_short_8: PYRD53J5

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/PYRD53J5OXBXVCYLANBLNXSAHZ \
  | 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: 7e223eed3d75c37a8b0b0342b6de403e791fd375a66187fb96d85bf3e80eb512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f3cd871b6e4d5e7e311c5b99e93018b73f02322c0e61cc0d8ea123200f92f6",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-10-09T17:52:19Z",
    "title_canon_sha256": "766a1a7ed8bee8afff5347569097763fe27f063afd2932d0c0e3273f34ccff87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.08535",
    "kind": "arxiv",
    "version": 2
  }
}