Pith Number

pith:VNWD6W36

pith:2008:VNWD6W3673KGLRX5MV37ACWTAQ

not attested not anchored not stored refs pending

Microscopic diagonal entropy and its connection to basic thermodynamic relations

Anatoli Polkovnikov

arxiv:0806.2862 v8 · 2008-06-17 · cond-mat.stat-mech · hep-th · 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{VNWD6W3673KGLRX5MV37ACWTAQ}

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

2 papers in Pith

Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model

Emergence of Thermodynamics from Equilibration in Isolated Quantum Systems

Receipt and verification

First computed	2026-05-18T03:49:10.656754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab6c3f5b7efed465c6fd6577f00ad3041de146b24132838f3c64e83701008ba8

Aliases

arxiv: 0806.2862 · arxiv_version: 0806.2862v8 · doi: 10.48550/arxiv.0806.2862 · pith_short_12: VNWD6W3673KG · pith_short_16: VNWD6W3673KGLRX5 · pith_short_8: VNWD6W36

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/VNWD6W3673KGLRX5MV37ACWTAQ \
  | 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: ab6c3f5b7efed465c6fd6577f00ad3041de146b24132838f3c64e83701008ba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3be2fd55158d9dde94fdbd390d93c8a2284c27906cf1cc2db86d63308cf7aad3",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2008-06-17T20:00:10Z",
    "title_canon_sha256": "0a90b538002e234454c54b57dc5d4ee4eed8c9b072631dfaec8162a126b1d2a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.2862",
    "kind": "arxiv",
    "version": 8
  }
}