Pith Number

pith:7DQ5FCVC

pith:2011:7DQ5FCVCF4EUW556LNH54RWC6L

not attested not anchored not stored refs pending

Weighted $L^p$ estimates for the area integral associated to self-adjoint operators

Lixin Yan, Ruming Gong

arxiv:1109.1662 v1 · 2011-09-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DQ5FCVCF4EUW556LNH54RWC6L}

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	2026-05-18T04:13:54.641474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8e1d28aa22f094b77be5b4fde46c2f2da392c29f0fb96236e073723050e935b

Aliases

arxiv: 1109.1662 · arxiv_version: 1109.1662v1 · doi: 10.48550/arxiv.1109.1662 · pith_short_12: 7DQ5FCVCF4EU · pith_short_16: 7DQ5FCVCF4EUW556 · pith_short_8: 7DQ5FCVC

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/7DQ5FCVCF4EUW556LNH54RWC6L \
  | 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: f8e1d28aa22f094b77be5b4fde46c2f2da392c29f0fb96236e073723050e935b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97ae8102d6bfe2a0163ff656398643a32e5553931224dee97ea49d28fbb0641c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-08T08:57:14Z",
    "title_canon_sha256": "403d4755ebea2afc504111272fa6e2442370ed2323062ccf9f703e60b36c77a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1662",
    "kind": "arxiv",
    "version": 1
  }
}