Pith Number

pith:FRQUZGJF

pith:2018:FRQUZGJFEE3YAD4LD674IYORF5

not attested not anchored not stored refs pending

Localisation of Spectral Sums corresponding to the sub-Laplacian on the Heisenberg Group

K. Jotsaroop, Rahul Garg

arxiv:1804.02837 v2 · 2018-04-09 · math.AP · math.CA · math.FA

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\usepackage{pith}
\pithnumber{FRQUZGJFEE3YAD4LD674IYORF5}

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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

Almost everywhere convergence of Bochner-Riesz means on Heisenberg-type groups

Receipt and verification

First computed	2026-07-05T04:35:07.581926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c614c99252137800f8b1fbfc461d12f7e1400000c341afa7747b48292be24b5

Aliases

arxiv: 1804.02837 · arxiv_version: 1804.02837v2 · doi: 10.48550/arxiv.1804.02837 · pith_short_12: FRQUZGJFEE3Y · pith_short_16: FRQUZGJFEE3YAD4L · pith_short_8: FRQUZGJF

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/FRQUZGJFEE3YAD4LD674IYORF5 \
  | 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: 2c614c99252137800f8b1fbfc461d12f7e1400000c341afa7747b48292be24b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7253ffdf68f332894ce55060d84f91a1b0a002313f664826a5e3b900f146a5",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-09T06:25:34Z",
    "title_canon_sha256": "2116eec96adf8cb734b9c2bf5193216a0ee2130049c405324acd8cccc88e8e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02837",
    "kind": "arxiv",
    "version": 2
  }
}