Pith Number

pith:W3JL7UVP

pith:2012:W3JL7UVPPMKUSF65BJQGXZZTMU

not attested not anchored not stored refs pending

Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials

D. Pestana, E. Colorado, E. Romera, J. M. Rodriguez

arxiv:1212.2373 v1 · 2012-12-11 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3JL7UVPPMKUSF65BJQGXZZTMU}

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	2026-05-18T03:38:45.109194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d2bfd2af7b154917dd0a606be733651c46c33cc2e2bfd56c65fc555a8d580d

Aliases

arxiv: 1212.2373 · arxiv_version: 1212.2373v1 · doi: 10.48550/arxiv.1212.2373 · pith_short_12: W3JL7UVPPMKU · pith_short_16: W3JL7UVPPMKUSF65 · pith_short_8: W3JL7UVP

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/W3JL7UVPPMKUSF65BJQGXZZTMU \
  | 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: b6d2bfd2af7b154917dd0a606be733651c46c33cc2e2bfd56c65fc555a8d580d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49957988a735641ba322265973ec9d18fffa36f504f8e331b0c0416441a14154",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-11T10:25:52Z",
    "title_canon_sha256": "baea476dc725015cab6c962669fd38a3dbcb216c1c0aee26ffd403b0064b8a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2373",
    "kind": "arxiv",
    "version": 1
  }
}