Pith Number

pith:MNXYVPFK

pith:2015:MNXYVPFKXSDO5BKB7XR6STR7CS

not attested not anchored not stored refs pending

The Schr\"odinger-Langevin equation with and without thermal fluctuations

Pol Bernard Gossiaux, Roland Katz

arxiv:1504.08087 v4 · 2015-04-30 · quant-ph · cond-mat.stat-mech · hep-ph · math-ph · math.MP · physics.chem-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{MNXYVPFKXSDO5BKB7XR6STR7CS}

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	2026-05-18T01:19:00.476551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

636f8abcaabc86ee8541fde3e94e3f14b90b4a378bc73d7a9730ab91ffc272a8

Aliases

arxiv: 1504.08087 · arxiv_version: 1504.08087v4 · doi: 10.48550/arxiv.1504.08087 · pith_short_12: MNXYVPFKXSDO · pith_short_16: MNXYVPFKXSDO5BKB · pith_short_8: MNXYVPFK

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/MNXYVPFKXSDO5BKB7XR6STR7CS \
  | 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: 636f8abcaabc86ee8541fde3e94e3f14b90b4a378bc73d7a9730ab91ffc272a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2f459d38cc415089c424ae57ab55546cddb7ea97c61227f1b5dc90849052547",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-ph",
      "math-ph",
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-04-30T06:17:10Z",
    "title_canon_sha256": "7dac04a66551a2158338ac599f09b1e23c6c63a39d6718661b143a72b65b2852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08087",
    "kind": "arxiv",
    "version": 4
  }
}