Pith Number

pith:GSYUAMWQ

pith:2026:GSYUAMWQFEU65KXU73GSKO3P7A

not attested not anchored not stored refs pending

High-energy eigenfunctions of point perturbations of the Laplacian on the spheres $\mathbb{S}^{2}$ and $\mathbb{S}^{3}$

Santiago Verdasco

arxiv:2601.19701 v2 · 2026-01-27 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSYUAMWQFEU65KXU73GSKO3P7A}

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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 Limits of the Laplacian perturbed along a geodesic on $\mathbb{S}^{2}$

Receipt and verification

First computed	2026-06-10T01:09:53.458773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b14032d02929eeaaf4fecd253b6ff82c50de67d054dccc2b706cd607a14d47

Aliases

arxiv: 2601.19701 · arxiv_version: 2601.19701v2 · doi: 10.48550/arxiv.2601.19701 · pith_short_12: GSYUAMWQFEU6 · pith_short_16: GSYUAMWQFEU65KXU · pith_short_8: GSYUAMWQ

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/GSYUAMWQFEU65KXU73GSKO3P7A \
  | 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: 34b14032d02929eeaaf4fecd253b6ff82c50de67d054dccc2b706cd607a14d47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "babdb3551c484f95f36490e5a017ce526d98bbf051142947cf200ec866894168",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-01-27T15:27:50Z",
    "title_canon_sha256": "72164b17f867cc2114ef4e7e2d5e1560ebfdb8ccfb78e38d960c96414c7033c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19701",
    "kind": "arxiv",
    "version": 2
  }
}