Pith Number

pith:MJ76TW5T

pith:2016:MJ76TW5TMFHIFADJ2FLPR6F2VR

not attested not anchored not stored refs pending

Large Deviation implies First and Second Laws of Thermodynamics

Eyuri Wakakuwa, Hiroyasu Tajima, Tomohiro Ogawa

arxiv:1611.06614 v4 · 2016-11-21 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJ76TW5TMFHIFADJ2FLPR6F2VR}

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	2026-05-18T00:47:49.294830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

627fe9dbb3614e828069d156f8f8baac7a4f1d2aabbd461f07a38508cedc84ee

Aliases

arxiv: 1611.06614 · arxiv_version: 1611.06614v4 · doi: 10.48550/arxiv.1611.06614 · pith_short_12: MJ76TW5TMFHI · pith_short_16: MJ76TW5TMFHIFADJ · pith_short_8: MJ76TW5T

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/MJ76TW5TMFHIFADJ2FLPR6F2VR \
  | 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: 627fe9dbb3614e828069d156f8f8baac7a4f1d2aabbd461f07a38508cedc84ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c34093c08dff55189696e542803485eaa3e809086706349a2595f3c4f10506",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-11-21T00:02:20Z",
    "title_canon_sha256": "fc833dc1716785b18921b74d2e2db4f8b681303afb4b64d0e02fb766d44a2af0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06614",
    "kind": "arxiv",
    "version": 4
  }
}