Pith Number

pith:CXYPMRZB

pith:2026:CXYPMRZBSQUSICA3LLBN5NXUPQ

not attested not anchored not stored refs pending

Eigenvalues of the Magnetic Neumann Laplacian on Domains with Peaks

Noah Koerner

arxiv:2608.09469 v1 · 2026-08-10 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXYPMRZBSQUSICA3LLBN5NXUPQ}

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	2026-08-11T02:24:17.160982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15f0f64721942924081b5ac2deb6f47c2d5643b0eabdc202b704658ba63b54fe

Aliases

arxiv: 2608.09469 · arxiv_version: 2608.09469v1 · doi: 10.48550/arxiv.2608.09469 · pith_short_12: CXYPMRZBSQUS · pith_short_16: CXYPMRZBSQUSICA3 · pith_short_8: CXYPMRZB

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/CXYPMRZBSQUSICA3LLBN5NXUPQ \
  | 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: 15f0f64721942924081b5ac2deb6f47c2d5643b0eabdc202b704658ba63b54fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95adfbe13ada233110c014509c0afa35c025a6304b9a9262cc02951806bfcfc8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-08-10T11:38:33Z",
    "title_canon_sha256": "1d94165495c94b7353f08182cf343c49f7c2f506913a8cb0ea64b1b521d59b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09469",
    "kind": "arxiv",
    "version": 1
  }
}