Pith Number

pith:ODF5T64N

pith:2023:ODF5T64NKDRXQQSIINSXB2WFM4

not attested not anchored not stored refs pending

Schr\"odinger evolution in a low-density random potential: annealed convergence to the linear Boltzmann equation for general semiclassical Wigner measures

S{\o}ren Mikkelsen

arxiv:2303.05176 v1 · 2023-03-09 · math-ph · math.AP · 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{ODF5T64NKDRXQQSIINSXB2WFM4}

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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.

Cited by

1 paper in Pith

Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit

Receipt and verification

First computed	2026-07-05T05:49:38.049433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70cbd9fb8d50e3784248436570eac5671fac2a9b3de85fbcfbcff5887c1df02a

Aliases

arxiv: 2303.05176 · arxiv_version: 2303.05176v1 · doi: 10.48550/arxiv.2303.05176 · pith_short_12: ODF5T64NKDRX · pith_short_16: ODF5T64NKDRXQQSI · pith_short_8: ODF5T64N

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/ODF5T64NKDRXQQSIINSXB2WFM4 \
  | 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: 70cbd9fb8d50e3784248436570eac5671fac2a9b3de85fbcfbcff5887c1df02a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1a6b26c86138a3a1de8733f707c55512fa9a6b43aa3308705087c04961470f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-03-09T11:11:53Z",
    "title_canon_sha256": "ed0cb5601d06bb0db5618970ac4597b34c4433459a9f7775444de416cc863204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.05176",
    "kind": "arxiv",
    "version": 1
  }
}