Pith Number

pith:4MMOCPCM

pith:2026:4MMOCPCMDGDHZKQ6AGSDRNNNCJ

not attested not anchored not stored refs pending

Thermodynamic Irreversibility of Training Algorithms

Adam Levine, Isaac Chuang, Liu Ziyin, Yuanjie Ren

arxiv:2605.21933 v1 · 2026-05-21 · cond-mat.stat-mech · cs.AI · 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{4MMOCPCMDGDHZKQ6AGSDRNNNCJ}

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	2026-05-22T01:04:15.592468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e318e13c4c19867caa1e01a438b5ad127081d42bb50ea274b9f56e7971b7aec3

Aliases

arxiv: 2605.21933 · arxiv_version: 2605.21933v1 · doi: 10.48550/arxiv.2605.21933 · pith_short_12: 4MMOCPCMDGDH · pith_short_16: 4MMOCPCMDGDHZKQ6 · pith_short_8: 4MMOCPCM

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/4MMOCPCMDGDHZKQ6AGSDRNNNCJ \
  | 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: e318e13c4c19867caa1e01a438b5ad127081d42bb50ea274b9f56e7971b7aec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a5cf70635900edd327bc4af4fc3c43f5b29bcd6a650485372b68bcedd61ed95",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-21T03:04:44Z",
    "title_canon_sha256": "9f156e83dacd94e8abbf543f2e3f1d716e0c425162ff218f557582c65cb330c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21933",
    "kind": "arxiv",
    "version": 1
  }
}