Pith Number

pith:37UTFHWG

pith:2026:37UTFHWGT3GTUFFBBT6ZNLY64G

not attested not anchored not stored refs pending

Reconciling Causality and Non-Equilibrium Thermodynamics with Hamiltonian Causal Models

Dario Rancati, Francesco Locatello, Max Welling

arxiv:2606.04822 v1 · 2026-06-03 · 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{37UTFHWGT3GTUFFBBT6ZNLY64G}

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	2026-06-04T01:09:31.266197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfe9329ec69ecd3a14a10cfd96af1ee1885ffe6873b9bbe136bace93d533720b

Aliases

arxiv: 2606.04822 · arxiv_version: 2606.04822v1 · doi: 10.48550/arxiv.2606.04822 · pith_short_12: 37UTFHWGT3GT · pith_short_16: 37UTFHWGT3GTUFFB · pith_short_8: 37UTFHWG

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/37UTFHWGT3GTUFFBBT6ZNLY64G \
  | 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: dfe9329ec69ecd3a14a10cfd96af1ee1885ffe6873b9bbe136bace93d533720b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f96ac7b8021c5e4e5450ec5cb47ec211d2e76365998992e44ffca8143ed27dc7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-03T12:43:46Z",
    "title_canon_sha256": "d81ab220eec6a1d0e13da96a999662b9aff28db37dd577ab4737f0fa0869d134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04822",
    "kind": "arxiv",
    "version": 1
  }
}