Pith Number

pith:JDZK7UDP

pith:2018:JDZK7UDPWYZHPATGJGJQOE3MY4

not attested not anchored not stored refs pending

Spectral multipliers for functions of fixed $K$-type on $L^p(SL(2,\mathbb{R}))$

B{\l}a\.zej Wr\'obel, Fulvio Ricci

arxiv:1809.09385 v1 · 2018-09-25 · math.FA · math.RT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDZK7UDPWYZHPATGJGJQOE3MY4}

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	2026-05-18T00:04:53.519807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48f2afd06fb632778266499307136cc73de5405effec48bafcdad27eb6d278d3

Aliases

arxiv: 1809.09385 · arxiv_version: 1809.09385v1 · doi: 10.48550/arxiv.1809.09385 · pith_short_12: JDZK7UDPWYZH · pith_short_16: JDZK7UDPWYZHPATG · pith_short_8: JDZK7UDP

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/JDZK7UDPWYZHPATGJGJQOE3MY4 \
  | 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: 48f2afd06fb632778266499307136cc73de5405effec48bafcdad27eb6d278d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc6bf72933d696ea4374f4709c8a2f2b243cdd6a2e436c7f286d20b71ba5a728",
    "cross_cats_sorted": [
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-25T09:51:53Z",
    "title_canon_sha256": "d42b77bdbf1e5f13608691e650df41c176b184866a724b31fdecc791fe7797f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09385",
    "kind": "arxiv",
    "version": 1
  }
}