Pith Number

pith:577NU6W2

pith:2017:577NU6W2IA2Y7MORXYQ7NR7SYD

not attested not anchored not stored refs pending

Some jump and variational inequalities for the Calder\'on commutators and related operators

Guixiang Hong, Jie Xiao, Yanping Chen, Yong Ding

arxiv:1709.03127 v1 · 2017-09-10 · 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{577NU6W2IA2Y7MORXYQ7NR7SYD}

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	2026-05-18T00:35:39.272094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

effeda7ada40358fb1d1be21f6c7f2c0fe783193d16d2cd9825dcb90ff10ff90

Aliases

arxiv: 1709.03127 · arxiv_version: 1709.03127v1 · doi: 10.48550/arxiv.1709.03127 · pith_short_12: 577NU6W2IA2Y · pith_short_16: 577NU6W2IA2Y7MOR · pith_short_8: 577NU6W2

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/577NU6W2IA2Y7MORXYQ7NR7SYD \
  | 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: effeda7ada40358fb1d1be21f6c7f2c0fe783193d16d2cd9825dcb90ff10ff90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1fbc81a43d8cb92e58d655135ad901dc308aceaccc4c95554801f8fcff3ee4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-10T16:34:27Z",
    "title_canon_sha256": "0de31e9f75eca62d946edeb2e90c448b32767ec3d27aefcfdbc6b4738e359666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03127",
    "kind": "arxiv",
    "version": 1
  }
}