Pith Number

pith:MUW7AEKJ

pith:2024:MUW7AEKJTNZEZJMSDBK32H7UW6

not attested not anchored not stored refs pending

A modified local Weyl law and spectral comparison results for $\delta'$-coupling conditions

Joachim Kerner, Patrizio Bifulco

arxiv:2407.21719 v1 · 2024-07-31 · math.SP · math-ph · math.MP

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\usepackage{pith}
\pithnumber{MUW7AEKJTNZEZJMSDBK32H7UW6}

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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

Spectral comparison results for Laplacians on discrete graphs

Receipt and verification

First computed	2026-07-05T10:42:12.087252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

652df011499b724ca5921855bd1ff4b780fe14c8726039d53e39989c73ddb2ea

Aliases

arxiv: 2407.21719 · arxiv_version: 2407.21719v1 · doi: 10.48550/arxiv.2407.21719 · pith_short_12: MUW7AEKJTNZE · pith_short_16: MUW7AEKJTNZEZJMS · pith_short_8: MUW7AEKJ

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/MUW7AEKJTNZEZJMSDBK32H7UW6 \
  | 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: 652df011499b724ca5921855bd1ff4b780fe14c8726039d53e39989c73ddb2ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c507b20cfb09be5f4cb51a5ab89d9113e5bbe3e4acb927bf2d129a0eb6ef6102",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-07-31T16:10:37Z",
    "title_canon_sha256": "b89b0526ea879cbda1c8c1ab9310f0dcb13542adad652824181a23987ba455ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.21719",
    "kind": "arxiv",
    "version": 1
  }
}