Pith Number

pith:XO36RXGC

pith:2015:XO36RXGCRP35L6WWA3FOWF3IMJ

not attested not anchored not stored refs pending

Improved Cotlar's inequality in the context of local $Tb$ theorems

Henri Martikainen, Mihalis Mourgoglou, Xavier Tolsa

arxiv:1512.02950 v1 · 2015-12-09 · 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{XO36RXGCRP35L6WWA3FOWF3IMJ}

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	2026-05-18T00:22:06.911703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb7e8dcc28bf7d5fad606caeb1768626b89acab1ba17140f214729674062b0a

Aliases

arxiv: 1512.02950 · arxiv_version: 1512.02950v1 · doi: 10.48550/arxiv.1512.02950 · pith_short_12: XO36RXGCRP35 · pith_short_16: XO36RXGCRP35L6WW · pith_short_8: XO36RXGC

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/XO36RXGCRP35L6WWA3FOWF3IMJ \
  | 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: bbb7e8dcc28bf7d5fad606caeb1768626b89acab1ba17140f214729674062b0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5184a80123178fb3bc9c8244d4b67d9274ff875c89c3012a5755a4f7d6b84d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-09T17:18:55Z",
    "title_canon_sha256": "9bed4e9661bb164decb67275bc6509411b94c00f7881bb0a00e6914e1cf4d80d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02950",
    "kind": "arxiv",
    "version": 1
  }
}