Pith Number

pith:24R6XD33

pith:2019:24R6XD33HXXGOLMMEKFFG44D6C

not attested not anchored not stored refs pending

Sharp spectral multipliers without semigroup framework and application to random walks

Adam Sikora, El Maati Ouhabaz, Lixin Yan, Peng Chen

arxiv:1902.11002 v1 · 2019-02-28 · math.AP · 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{24R6XD33HXXGOLMMEKFFG44D6C}

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	2026-05-17T23:52:26.122172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d723eb8f7b3dee672d8c228a537383f0ab3a6b2e1fb9c774d9456f5e044e1001

Aliases

arxiv: 1902.11002 · arxiv_version: 1902.11002v1 · doi: 10.48550/arxiv.1902.11002 · pith_short_12: 24R6XD33HXXG · pith_short_16: 24R6XD33HXXGOLMM · pith_short_8: 24R6XD33

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/24R6XD33HXXGOLMMEKFFG44D6C \
  | 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: d723eb8f7b3dee672d8c228a537383f0ab3a6b2e1fb9c774d9456f5e044e1001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc124be3541bd14b35385d65b81dca061d138a43b8d97b5db6111385801ce9ca",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-28T10:42:01Z",
    "title_canon_sha256": "5d1a004d4c7d1bf0405d676a4b6101ca4fa30b99a317876b7daafff62fd52530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.11002",
    "kind": "arxiv",
    "version": 1
  }
}