Pith Number

pith:VHPQPI5E

pith:2023:VHPQPI5EXIB7XR65NZNB5MQPGS

not attested not anchored not stored refs pending

Spectral projections and resolvent estimates on Damek-Ricci spaces and their applications

Mithun Bhowmik, Utsav Dewan

arxiv:2306.06875 v1 · 2023-06-12 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHPQPI5EXIB7XR65NZNB5MQPGS}

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.

Cited by

1 paper in Pith

Regularity and pointwise convergence for dispersive equations with asymptotically concave phase on Damek-Ricci spaces

Receipt and verification

First computed	2026-07-05T06:19:45.132466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9df07a3a4ba03fbc7dd6e5a1eb20f34b8c7d35b06011345e5514b5766320221

Aliases

arxiv: 2306.06875 · arxiv_version: 2306.06875v1 · doi: 10.48550/arxiv.2306.06875 · pith_short_12: VHPQPI5EXIB7 · pith_short_16: VHPQPI5EXIB7XR65 · pith_short_8: VHPQPI5E

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/VHPQPI5EXIB7XR65NZNB5MQPGS \
  | 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: a9df07a3a4ba03fbc7dd6e5a1eb20f34b8c7d35b06011345e5514b5766320221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b0ccc82e2b1a954e1a920d95f8ca2b93ed7e910984f25b40ba3d533068897c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-06-12T05:17:50Z",
    "title_canon_sha256": "41414724dcc18edb93ad0e853a86990cad5b9dcca35d3bb2be259a317ffacb98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.06875",
    "kind": "arxiv",
    "version": 1
  }
}