Pith Number

pith:YWR5FSTS

pith:2018:YWR5FSTSLJGZAZACUESGNCVW7T

not attested not anchored not stored refs pending

Analysis of $L^p$-type estimates of Poisson transform on Homogeneous Trees

Pratyoosh Kumar, Sumit Kumar Rano

arxiv:1808.09659 v1 · 2018-08-29 · 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{YWR5FSTSLJGZAZACUESGNCVW7T}

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	2026-05-18T00:06:54.856832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a3d2ca725a4d906402a124668ab6fcf824935ba140ea128554754b38f2121c

Aliases

arxiv: 1808.09659 · arxiv_version: 1808.09659v1 · doi: 10.48550/arxiv.1808.09659 · pith_short_12: YWR5FSTSLJGZ · pith_short_16: YWR5FSTSLJGZAZAC · pith_short_8: YWR5FSTS

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/YWR5FSTSLJGZAZACUESGNCVW7T \
  | 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: c5a3d2ca725a4d906402a124668ab6fcf824935ba140ea128554754b38f2121c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9fe6c8f851ebb6e7290e2d974bd8babcdbe31578f9ba0aaff728c919475aff3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-29T06:56:01Z",
    "title_canon_sha256": "3a9316e6cde9243dbafd9ead2f8e2ffc819b4fd61acef33552c409fc0b83e284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09659",
    "kind": "arxiv",
    "version": 1
  }
}