Pith Number

pith:3ERZ2X2X

pith:2025:3ERZ2X2XKU6GITDH3FQ22S7WWJ

not attested not anchored not stored refs pending

Bridging Data and Physics: A Graph Neural Network-Based Hybrid Twin Framework

A. Briot, B. Moya, F. Chinesta, F. Meraghni, M. Gorpinich, M. Henner, R. Leon, S. Rodriguez, Y. Jaafra

arxiv:2512.15767 v2 · 2025-12-12 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ERZ2X2XKU6GITDH3FQ22S7WWJ}

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	2026-05-25T02:02:11.525535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9239d5f57553c644c67d961ad4bf6b24f673ba190d0f17118e5cae695f61114

Aliases

arxiv: 2512.15767 · arxiv_version: 2512.15767v2 · doi: 10.48550/arxiv.2512.15767 · pith_short_12: 3ERZ2X2XKU6G · pith_short_16: 3ERZ2X2XKU6GITDH · pith_short_8: 3ERZ2X2X

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/3ERZ2X2XKU6GITDH3FQ22S7WWJ \
  | 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: d9239d5f57553c644c67d961ad4bf6b24f673ba190d0f17118e5cae695f61114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2bbe754f2055537eb3252678fd13a18669cb70db04471954058ff0d76ed6f3b",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-12-12T16:54:56Z",
    "title_canon_sha256": "bebbe0dea218cc18cfe5c60ea64610d2e205d1df21bdcd3ec08b3c409f9b9556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.15767",
    "kind": "arxiv",
    "version": 2
  }
}