Pith Number

pith:U75UANNW

pith:2019:U75UANNWB43ZRONUZVPADBVE7A

not attested not anchored not stored refs pending

Introduction to Quantum Thermodynamics (Lecture Notes)

Patrick P. Potts

arxiv:1906.07439 v2 · 2019-06-18 · quant-ph · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U75UANNWB43ZRONUZVPADBVE7A}

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.

Cited by

1 paper in Pith

Heat and work in black hole thermodynamics via holography

Receipt and verification

First computed	2026-07-05T00:05:53.994726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7fb4035b60f3798b9b4cd5e0186a4f832d82fedfd76121a66c37ccb1f32223c

Aliases

arxiv: 1906.07439 · arxiv_version: 1906.07439v2 · doi: 10.48550/arxiv.1906.07439 · pith_short_12: U75UANNWB43Z · pith_short_16: U75UANNWB43ZRONU · pith_short_8: U75UANNW

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/U75UANNWB43ZRONUZVPADBVE7A \
  | 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: a7fb4035b60f3798b9b4cd5e0186a4f832d82fedfd76121a66c37ccb1f32223c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db73e015e279c4d3ec51ea6d8fe1f4a8a5bf248a3d25ebbbae1df3f6e0530f1",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-06-18T08:24:44Z",
    "title_canon_sha256": "d15d8b02b866f819800680b501c26efe7d82281aeef6db308c26da70ba0c8137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07439",
    "kind": "arxiv",
    "version": 2
  }
}