Pith Number

pith:W2TZLA6L

pith:2007:W2TZLA6LPMBVYLRJMWMMGIRNOO

not attested not anchored not stored refs pending

The Vacuum Fluctuation Theorem: Exact Schroedinger Equation via Nonequilibrium Thermodynamics

Gerhard Groessing

arxiv:0711.4954 v2 · 2007-11-30 · quant-ph · cond-mat.stat-mech · physics.hist-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{W2TZLA6LPMBVYLRJMWMMGIRNOO}

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

The Entropic Dynamics approach to Quantum Mechanics

Receipt and verification

First computed	2026-07-04T15:11:53.793989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6a79583cb7b035c2e296598c3222d73994cda05a3165649fda95cc255c346ca

Aliases

arxiv: 0711.4954 · arxiv_version: 0711.4954v2 · doi: 10.48550/arxiv.0711.4954 · pith_short_12: W2TZLA6LPMBV · pith_short_16: W2TZLA6LPMBVYLRJ · pith_short_8: W2TZLA6L

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/W2TZLA6LPMBVYLRJMWMMGIRNOO \
  | 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: b6a79583cb7b035c2e296598c3222d73994cda05a3165649fda95cc255c346ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "770873552f4b9a83664b2475b06636714776252a05f2f87cd033d12310d97c2a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.hist-ph"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-11-30T15:11:37Z",
    "title_canon_sha256": "8e821cccf7086caa9803ee685b000c383ea400374de98a587f7ca58564807571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4954",
    "kind": "arxiv",
    "version": 2
  }
}