Pith Number

pith:CNXER2JA

pith:2012:CNXER2JAJVDYHTDVHHRKITDAP3

not attested not anchored not stored refs pending

Logarithmic mean oscillation on the Polydisc, Multi-parameter paraproducts and iterated commutators

Benoit F. Sehba

arxiv:1205.6328 v2 · 2012-05-29 · math.CA · math.CV · 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{CNXER2JAJVDYHTDVHHRKITDAP3}

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	2026-05-18T02:25:10.828039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

136e48e9204d4783cc7539e2a44c607ecb6340b9a7315eb07d1f93d5d3ed9f89

Aliases

arxiv: 1205.6328 · arxiv_version: 1205.6328v2 · doi: 10.48550/arxiv.1205.6328 · pith_short_12: CNXER2JAJVDY · pith_short_16: CNXER2JAJVDYHTDV · pith_short_8: CNXER2JA

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/CNXER2JAJVDYHTDVHHRKITDAP3 \
  | 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: 136e48e9204d4783cc7539e2a44c607ecb6340b9a7315eb07d1f93d5d3ed9f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b41e6f402404a381999b2fe27d1bff4dd033965276e61f6a459613259744079",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-29T11:07:57Z",
    "title_canon_sha256": "3696e9bf31555649e9f70e8dcdd5c6e7dd645f6b484fac9972d17b0eb01c0a19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6328",
    "kind": "arxiv",
    "version": 2
  }
}