Pith Number

pith:RRT43W53

pith:2019:RRT43W53PLZM7LU4PUAIF7VQZA

not attested not anchored not stored refs pending

$L^p$-Sobolev estimates for a class of integral operators with folding canonical relations

Andreas Seeger, Malabika Pramanik

arxiv:1909.04173 v2 · 2019-09-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRT43W53PLZM7LU4PUAIF7VQZA}

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	2026-07-05T03:03:17.569356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c67cddbbb7af2cfae9c7d0082feb0c813e937428afb05ee3e0d857254f1fb38

Aliases

arxiv: 1909.04173 · arxiv_version: 1909.04173v2 · doi: 10.48550/arxiv.1909.04173 · pith_short_12: RRT43W53PLZM · pith_short_16: RRT43W53PLZM7LU4 · pith_short_8: RRT43W53

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/RRT43W53PLZM7LU4PUAIF7VQZA \
  | 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: 8c67cddbbb7af2cfae9c7d0082feb0c813e937428afb05ee3e0d857254f1fb38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7eccd9f5367341f43dc9bd988d9c8af3ff44756db1dc64218db4fb5deb991e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-09-09T21:49:14Z",
    "title_canon_sha256": "304eba68057831aeabd649e2bcfce67447f2cf9689c5eebda5453af996d894fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.04173",
    "kind": "arxiv",
    "version": 2
  }
}