Pith Number

pith:NWCWL5IK

pith:2025:NWCWL5IKHXO6VP6O6ALCCPAUKS

not attested not anchored not stored refs pending

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials

Esteban C\'ardenas, Laurent Lafleche

arxiv:2501.01381 v2 · 2025-01-02 · math-ph · math.AP · math.MP · math.SP · quant-ph

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\usepackage{pith}
\pithnumber{NWCWL5IKHXO6VP6O6ALCCPAUKS}

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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

Derivation of the time-dependent Hartree equations for strongly interacting dense fermionic systems

Receipt and verification

First computed	2026-07-05T10:18:12.044250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d8565f50a3dddeabfcef016213c1454887694f53ace67ac47f7bf935f3a10db

Aliases

arxiv: 2501.01381 · arxiv_version: 2501.01381v2 · doi: 10.48550/arxiv.2501.01381 · pith_short_12: NWCWL5IKHXO6 · pith_short_16: NWCWL5IKHXO6VP6O · pith_short_8: NWCWL5IK

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/NWCWL5IKHXO6VP6O6ALCCPAUKS \
  | 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: 6d8565f50a3dddeabfcef016213c1454887694f53ace67ac47f7bf935f3a10db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a0b3fb42215f2f6995bdc67a89cfdf716853778e0181c3be9b2a5b2d2cb21bf",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-02T17:52:06Z",
    "title_canon_sha256": "9cdc79833e6f26734abc21ca68f755caeeac8b17464b106bb48252a831a78efd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.01381",
    "kind": "arxiv",
    "version": 2
  }
}