Pith Number

pith:E6QXRKKX

pith:2011:E6QXRKKXMNVKCKUPNOLPIILQG5

not attested not anchored not stored refs pending

The Basis of the Second Law of Thermodynamics in Quantum Field Theory

D. Snoke, G. Liu, S. Girvin

arxiv:1112.3009 v1 · 2011-12-13 · cond-mat.stat-mech · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E6QXRKKXMNVKCKUPNOLPIILQG5}

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	2026-05-18T01:59:10.643565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27a178a957636aa12a8f6b96f421703757328483c03afaa866fb0d2c96c0fd3b

Aliases

arxiv: 1112.3009 · arxiv_version: 1112.3009v1 · doi: 10.48550/arxiv.1112.3009 · pith_short_12: E6QXRKKXMNVK · pith_short_16: E6QXRKKXMNVKCKUP · pith_short_8: E6QXRKKX

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/E6QXRKKXMNVKCKUPNOLPIILQG5 \
  | 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: 27a178a957636aa12a8f6b96f421703757328483c03afaa866fb0d2c96c0fd3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa71eab9d29ef7bb7996607923a10668cd33a86085e887e9c48bce941d1ccbf7",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-12-13T19:57:05Z",
    "title_canon_sha256": "240cd725d93dd8930f8a878ab1cfb085e76bcb96f0e9ca0e49fc3b5f7eff903e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3009",
    "kind": "arxiv",
    "version": 1
  }
}