Pith Number

pith:66QZAQ4T

pith:2026:66QZAQ4TBJZY2XIVN2VUSNNIR4

not attested not anchored not stored refs pending

Perron--Frobenius Operator Matching for Generative Modeling

Jaemin Oh, Jie Chen, Shiqi Zhang, Wuwei Wu, Xiaoning Qian

arxiv:2606.17465 v1 · 2026-06-16 · cs.LG · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66QZAQ4TBJZY2XIVN2VUSNNIR4}

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	2026-06-19T16:10:13.730652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7a19043930a738d5d156eab4935a88f1d03edbe90c6ef9709d9eec21dfad211

Aliases

arxiv: 2606.17465 · arxiv_version: 2606.17465v1 · doi: 10.48550/arxiv.2606.17465 · pith_short_12: 66QZAQ4TBJZY · pith_short_16: 66QZAQ4TBJZY2XIV · pith_short_8: 66QZAQ4T

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/66QZAQ4TBJZY2XIVN2VUSNNIR4 \
  | 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: f7a19043930a738d5d156eab4935a88f1d03edbe90c6ef9709d9eec21dfad211

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e58e9a4f751ce91ba088efc467cb10bb50a64ef1edd2d2ef9b0bbf89c37633",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-16T03:26:55Z",
    "title_canon_sha256": "5971605bb1ca333694a7fb03dae202f2fdf2c3817b7dbcacc597280f31bb6a90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17465",
    "kind": "arxiv",
    "version": 1
  }
}