Pith Number

pith:TZ74REZO

pith:2026:TZ74REZOY2BTKQWCHRHANN6LP3

not attested not anchored not stored refs pending

Thermodynamics of Learning: A Typed Four-Component Accounting of Memory, Fit, and Value

Akihito Sudo

arxiv:2608.12791 v1 · 2026-08-13 · cond-mat.stat-mech · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZ74REZOY2BTKQWCHRHANN6LP3}

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	2026-08-14T00:48:07.344276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e7fc8932ec6833542c23c4e06b7cb7ee1a4af23c8560b59815120dcab49cf6f

Aliases

arxiv: 2608.12791 · arxiv_version: 2608.12791v1 · doi: 10.48550/arxiv.2608.12791 · pith_short_12: TZ74REZOY2BT · pith_short_16: TZ74REZOY2BTKQWC · pith_short_8: TZ74REZO

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/TZ74REZOY2BTKQWCHRHANN6LP3 \
  | 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: 9e7fc8932ec6833542c23c4e06b7cb7ee1a4af23c8560b59815120dcab49cf6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b2f97b7926e78c311a19b3832654112856536091b7e13fefad9a756148e8bde",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-08-13T03:52:23Z",
    "title_canon_sha256": "8e240f06d45294a06a454e8f9b3f3a30b31da0ed32ebb34159c6012bfb7a6485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12791",
    "kind": "arxiv",
    "version": 1
  }
}