Pith Number

pith:BPZYHCDY

pith:2026:BPZYHCDYKUSXEP7RT35YQUIMFR

not attested not anchored not stored refs pending

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

Santiago Verdasco

arxiv:2606.10847 v1 · 2026-06-09 · 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{BPZYHCDYKUSXEP7RT35YQUIMFR}

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	2026-06-10T01:10:43.742700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf38388785525723ff19efb88510c2c48a77524d8a3c5d0f8cbdf8e0ee2f931

Aliases

arxiv: 2606.10847 · arxiv_version: 2606.10847v1 · doi: 10.48550/arxiv.2606.10847 · pith_short_12: BPZYHCDYKUSX · pith_short_16: BPZYHCDYKUSXEP7R · pith_short_8: BPZYHCDY

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/BPZYHCDYKUSXEP7RT35YQUIMFR \
  | 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: 0bf38388785525723ff19efb88510c2c48a77524d8a3c5d0f8cbdf8e0ee2f931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6710384b89835cde38771c00beb30c19574679222eb52e016e95b8a25a8930f6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-09T13:29:04Z",
    "title_canon_sha256": "4e79601179a2de36e5f37ba6fe847b75f590b720b8182c555de80adad9fee4a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10847",
    "kind": "arxiv",
    "version": 1
  }
}