Pith Number

pith:UKWTGW7H

pith:2013:UKWTGW7HBVTH7P5AAAOJO6QIWV

not attested not anchored not stored refs pending

On the $L^p$-estimates of Riesz transforms on forms over complete Riemanian manifolds

Xiang-Dong Li

arxiv:1304.3150 v1 · 2013-04-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKWTGW7HBVTH7P5AAAOJO6QIWV}

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	2026-05-18T03:28:18.479369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2ad335be70d667fbfa0001c977a08b5761ac0cf8cad2a5c64eae72d604491e9

Aliases

arxiv: 1304.3150 · arxiv_version: 1304.3150v1 · doi: 10.48550/arxiv.1304.3150 · pith_short_12: UKWTGW7HBVTH · pith_short_16: UKWTGW7HBVTH7P5A · pith_short_8: UKWTGW7H

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/UKWTGW7HBVTH7P5AAAOJO6QIWV \
  | 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: a2ad335be70d667fbfa0001c977a08b5761ac0cf8cad2a5c64eae72d604491e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b7b4a98a3a5ee3b5a7ee4248c2f7248f77533cebae1a3f8723ef4296932e524",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-10T21:34:57Z",
    "title_canon_sha256": "5b2fc147bc1b032d572377800cd51e9278640c612da02e13b5e7631e00252261"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3150",
    "kind": "arxiv",
    "version": 1
  }
}