Pith Number

pith:GSRSHJWF

pith:2024:GSRSHJWFRVSY2MNHIRJU7O3SAO

not attested not anchored not stored refs pending

The Schr\"odinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees

Guendalina Palmirotta, Jean-Philippe Anker, Yannick Sire

arxiv:2412.00780 v1 · 2024-12-01 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSRSHJWFRVSY2MNHIRJU7O3SAO}

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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

The Logarithmic Laplacian on General Graphs

Receipt and verification

First computed	2026-07-05T09:42:47.448235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34a323a6c58d658d31a744534fbb720389ab030d30a4de5d7e5352772124a589

Aliases

arxiv: 2412.00780 · arxiv_version: 2412.00780v1 · doi: 10.48550/arxiv.2412.00780 · pith_short_12: GSRSHJWFRVSY · pith_short_16: GSRSHJWFRVSY2MNH · pith_short_8: GSRSHJWF

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/GSRSHJWFRVSY2MNHIRJU7O3SAO \
  | 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: 34a323a6c58d658d31a744534fbb720389ab030d30a4de5d7e5352772124a589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dafc3fb2c17eb9d86d10fa2145317364d2eafa19f10f9e22af0b5e6db35ef013",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-01T12:04:03Z",
    "title_canon_sha256": "b3365b888bd2e1fb8a996148a29dd00572f354f7c930cd5131bc1fad6d0a1074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00780",
    "kind": "arxiv",
    "version": 1
  }
}