Pith Number

pith:TNU4NAW5

pith:2013:TNU4NAW5DDN4J7KF3DAXSAA2ON

not attested not anchored not stored refs pending

On the Separated Bumps Conjecture for Calderon-Zygmund Operators

Michael T Lacey

arxiv:1310.3507 v4 · 2013-10-13 · 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{TNU4NAW5DDN4J7KF3DAXSAA2ON}

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	2026-05-18T02:56:05.076451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b69c682dd18dbc4fd45d8c179001a7374be0f4bad2968c7c035d94f62c587e5

Aliases

arxiv: 1310.3507 · arxiv_version: 1310.3507v4 · doi: 10.48550/arxiv.1310.3507 · pith_short_12: TNU4NAW5DDN4 · pith_short_16: TNU4NAW5DDN4J7KF · pith_short_8: TNU4NAW5

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/TNU4NAW5DDN4J7KF3DAXSAA2ON \
  | 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: 9b69c682dd18dbc4fd45d8c179001a7374be0f4bad2968c7c035d94f62c587e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8497cc0d895e7c833782dcd5e7bea8e70bf2201a318289927521875eb89edb3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-13T19:49:12Z",
    "title_canon_sha256": "b83576a3808a992209394273aa4cf923200ae80ec6b61a74a773c533d4a9981d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3507",
    "kind": "arxiv",
    "version": 4
  }
}