Pith Number

pith:DG3WX24I

pith:2025:DG3WX24IAFYYVMZAVTL6MVIHIT

not attested not anchored not stored refs pending

Velocity Averaging for the Wigner Kinetic Equation in the Semiclassical Regime

Fran\c{c}ois Golse, Jakob M\"oller

arxiv:2503.09924 v2 · 2025-03-13 · math.AP · 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{DG3WX24IAFYYVMZAVTL6MVIHIT}

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	2026-06-05T01:14:25.568241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b76beb8801718ab320acd7e6550744dcd618a8443b8d906819951a72867074

Aliases

arxiv: 2503.09924 · arxiv_version: 2503.09924v2 · doi: 10.48550/arxiv.2503.09924 · pith_short_12: DG3WX24IAFYY · pith_short_16: DG3WX24IAFYYVMZA · pith_short_8: DG3WX24I

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/DG3WX24IAFYYVMZAVTL6MVIHIT \
  | 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: 19b76beb8801718ab320acd7e6550744dcd618a8443b8d906819951a72867074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa6a60b57bba6893c73d406bdd7b4b9b63c0485d7faa979406eefc8b7262db36",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-03-13T00:42:46Z",
    "title_canon_sha256": "ba1e41cb4ef6d057c838dcd35357dde052fb05fe7bd3142d4026fe1586b86bdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.09924",
    "kind": "arxiv",
    "version": 2
  }
}