Pith Number

pith:LMCSNKAI

pith:2010:LMCSNKAINNXLY2DB2JWPORNZAW

not attested not anchored not stored refs pending

Local Tb theorems and Hardy inequalities

Pascal Auscher (LM-Orsay), Routin Eddy (LM-Orsay)

arxiv:1011.1747 v2 · 2010-11-08 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMCSNKAINNXLY2DB2JWPORNZAW}

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	2026-05-18T04:31:42.078279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b0526a8086b6ebc6861d26cf745b905ba9b02c50cf58a6c33ca44fbba644890

Aliases

arxiv: 1011.1747 · arxiv_version: 1011.1747v2 · doi: 10.48550/arxiv.1011.1747 · pith_short_12: LMCSNKAINNXL · pith_short_16: LMCSNKAINNXLY2DB · pith_short_8: LMCSNKAI

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/LMCSNKAINNXLY2DB2JWPORNZAW \
  | 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: 5b0526a8086b6ebc6861d26cf745b905ba9b02c50cf58a6c33ca44fbba644890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a09eca5f9d3c68105a574249058bec6cbc8668bf43958e5d580ca528ccb61c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-08T10:04:44Z",
    "title_canon_sha256": "6e834810dee6b041c31e10f28fd0efdd81db8f47ed94dacb5a841ee664263f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1747",
    "kind": "arxiv",
    "version": 2
  }
}