Pith Number

pith:P5WQZ467

pith:2014:P5WQZ4672EDXXBY2S5NUDTD3GX

not attested not anchored not stored refs pending

Entropy conditions in two weight inequalities for singular integral operators

Alexander Volberg, Sergei Treil

arxiv:1408.0385 v1 · 2014-08-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5WQZ4672EDXXBY2S5NUDTD3GX}

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	2026-05-18T02:45:57.228278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6d0cf3dfd1077b871a975b41cc7b35f11c91fcd33539e431dbadd5e25908d4

Aliases

arxiv: 1408.0385 · arxiv_version: 1408.0385v1 · doi: 10.48550/arxiv.1408.0385 · pith_short_12: P5WQZ4672EDX · pith_short_16: P5WQZ4672EDXXBY2 · pith_short_8: P5WQZ467

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/P5WQZ4672EDXXBY2S5NUDTD3GX \
  | 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: 7f6d0cf3dfd1077b871a975b41cc7b35f11c91fcd33539e431dbadd5e25908d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce628aaee1043cd2a7364ba28c1bb4c3d2d77a33da901dbe0017b2796c89406",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-08-02T15:23:55Z",
    "title_canon_sha256": "b69c7be1f1c1b2b2485565d92baea92ab665d784c323751e691f40c236d2e0ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0385",
    "kind": "arxiv",
    "version": 1
  }
}