Pith Number

pith:CLZO6CRF

pith:2012:CLZO6CRF2LPX5INZRYKYFJFBPD

not attested not anchored not stored refs pending

Square function and maximal function estimates for operators beyond divergence form equations

Andreas Ros\'en

arxiv:1211.6888 v1 · 2012-11-29 · 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{CLZO6CRF2LPX5INZRYKYFJFBPD}

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	2026-05-18T03:39:42.824454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f2ef0a25d2df7ea1b98e1582a4a178fe2acc8b683d7b6cf3bd581b23db3cca

Aliases

arxiv: 1211.6888 · arxiv_version: 1211.6888v1 · doi: 10.48550/arxiv.1211.6888 · pith_short_12: CLZO6CRF2LPX · pith_short_16: CLZO6CRF2LPX5INZ · pith_short_8: CLZO6CRF

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/CLZO6CRF2LPX5INZRYKYFJFBPD \
  | 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: 12f2ef0a25d2df7ea1b98e1582a4a178fe2acc8b683d7b6cf3bd581b23db3cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "516a7ce05f328da78b91d0976928dca46a1033bd836a8d6cade305de60ac1625",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-29T11:39:54Z",
    "title_canon_sha256": "759685a7cc1a04093260bc6038ee68ea1a673e366db9ab385d5c9e39d45b4898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6888",
    "kind": "arxiv",
    "version": 1
  }
}