Pith Number

pith:GKRQG5ZQ

pith:2025:GKRQG5ZQITCDQSESGTNGEJW56Y

not attested not anchored not stored refs pending

Hybrid Generative Modeling for Incomplete Physics: Deep Grey-Box Meets Optimal Transport

Alexandros Kalousis, Gurjeet Sangra Singh, Maciej Falkiewicz

arxiv:2506.22204 v1 · 2025-06-27 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKRQG5ZQITCDQSESGTNGEJW56Y}

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	2026-07-05T11:28:23.598018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a303773044c438489234da6226ddf6130a8bb0e194a20f5a546a7189633049

Aliases

arxiv: 2506.22204 · arxiv_version: 2506.22204v1 · doi: 10.48550/arxiv.2506.22204 · pith_short_12: GKRQG5ZQITCD · pith_short_16: GKRQG5ZQITCDQSES · pith_short_8: GKRQG5ZQ

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/GKRQG5ZQITCDQSESGTNGEJW56Y \
  | 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: 32a303773044c438489234da6226ddf6130a8bb0e194a20f5a546a7189633049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bae12be1b0f9c55885a9e26d05993f1193a5df11ff7a5c87406e23f6cd8dad3",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-06-27T13:23:27Z",
    "title_canon_sha256": "ba5045f50b0465c12c0e9c5eff051cadd5c7f4c4a89d14acede4a8c4903995c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22204",
    "kind": "arxiv",
    "version": 1
  }
}