Pith Number

pith:FP5I6EOS

pith:2013:FP5I6EOSC2PU6XP7T5HJSMYJ3D

not attested not anchored not stored refs pending

Bellman approach to the one-sided bumping for weighted estimates of Calder\'on--Zygmund operators

Alexander Reznikov, Alexander Volberg, Fedor Nazarov

arxiv:1306.2653 v4 · 2013-06-11 · math.CA · 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{FP5I6EOSC2PU6XP7T5HJSMYJ3D}

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	2026-05-18T03:01:46.452031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bfa8f11d2169f4f5dff9f4e993309d8d39502b51c61cd72e31c17f3d5721a76

Aliases

arxiv: 1306.2653 · arxiv_version: 1306.2653v4 · doi: 10.48550/arxiv.1306.2653 · pith_short_12: FP5I6EOSC2PU · pith_short_16: FP5I6EOSC2PU6XP7 · pith_short_8: FP5I6EOS

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/FP5I6EOSC2PU6XP7T5HJSMYJ3D \
  | 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: 2bfa8f11d2169f4f5dff9f4e993309d8d39502b51c61cd72e31c17f3d5721a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306c90e7f6b1f64deebbc95a4c70851b31dcfb84a9fb4872e2e36240f6f18f25",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-11T20:39:11Z",
    "title_canon_sha256": "f0b7e1e3b28da811f80c95f66f70ec6d1d99e3e0c7ad324cd3e23e5b76eb1e90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2653",
    "kind": "arxiv",
    "version": 4
  }
}