Pith Number

pith:4CYDAS2Z

pith:2015:4CYDAS2Z4VWGAWDHUNFWYOKIXE

not attested not anchored not stored refs pending

Derivation of the linear Landau equation and linear Boltzmann equation from the Lorentz model with magnetic field

Alessia Nota, Matteo Marcozzi

arxiv:1507.02451 v2 · 2015-07-09 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CYDAS2Z4VWGAWDHUNFWYOKIXE}

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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	2026-05-18T01:07:52.450477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b0304b59e56c605867a34b6c3948b9120c6cfae194d61bdcd7eea24cbcdcf0

Aliases

arxiv: 1507.02451 · arxiv_version: 1507.02451v2 · doi: 10.48550/arxiv.1507.02451 · pith_short_12: 4CYDAS2Z4VWG · pith_short_16: 4CYDAS2Z4VWGAWDH · pith_short_8: 4CYDAS2Z

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/4CYDAS2Z4VWGAWDHUNFWYOKIXE \
  | 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: e0b0304b59e56c605867a34b6c3948b9120c6cfae194d61bdcd7eea24cbcdcf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3310ea3eeaffd6b074357fc4676f2378e4f3f64bf226b5bec28c042e5063d6a6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-09T10:37:57Z",
    "title_canon_sha256": "73f8cdeb88a2fb0ca5acaf37bc05bf12a356797aefcdc9d4d191cd05f5e3bfbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02451",
    "kind": "arxiv",
    "version": 2
  }
}