Pith Number

pith:WFZFDYNW

pith:2015:WFZFDYNWJYWSV23DOYU4N2Y5G4

not attested not anchored not stored refs pending

The Boltzmann--Langevin approach: A simple quantum-mechanical derivation

K. E. Nagaev

arxiv:1509.06267 v1 · 2015-09-21 · cond-mat.stat-mech · 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{WFZFDYNWJYWSV23DOYU4N2Y5G4}

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	2026-05-18T01:32:35.447978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b17251e1b64e2d2aeb637629c6eb1d373558336abb4b5b156f72a6f617553280

Aliases

arxiv: 1509.06267 · arxiv_version: 1509.06267v1 · doi: 10.48550/arxiv.1509.06267 · pith_short_12: WFZFDYNWJYWS · pith_short_16: WFZFDYNWJYWSV23D · pith_short_8: WFZFDYNW

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/WFZFDYNWJYWSV23DOYU4N2Y5G4 \
  | 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: b17251e1b64e2d2aeb637629c6eb1d373558336abb4b5b156f72a6f617553280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d86d9562618fed17eb598020baba67f16a34d00578b310d24e8859f39b0faf49",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-09-21T15:21:29Z",
    "title_canon_sha256": "2d755c2072f26074b87097eae74ddbeb472824f680e9d264c67847f334a2fa10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06267",
    "kind": "arxiv",
    "version": 1
  }
}