Pith Number

pith:IO55NESP

pith:2016:IO55NESPPFKMEXPF64O2DYUIQV

not attested not anchored not stored refs pending

Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers

Adam Osekowski, Rodrigo Banuelos

arxiv:1609.08672 v1 · 2016-09-27 · math.PR · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IO55NESPPFKMEXPF64O2DYUIQV}

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	2026-05-18T01:03:42.238670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43bbd6924f7954c25de5f71da1e288857dc491c74b0ea50af5198a909731d34b

Aliases

arxiv: 1609.08672 · arxiv_version: 1609.08672v1 · doi: 10.48550/arxiv.1609.08672 · pith_short_12: IO55NESPPFKM · pith_short_16: IO55NESPPFKMEXPF · pith_short_8: IO55NESP

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/IO55NESPPFKMEXPF64O2DYUIQV \
  | 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: 43bbd6924f7954c25de5f71da1e288857dc491c74b0ea50af5198a909731d34b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c7e1b1e2b3394cbe8e47cf5ba3d9e384cf7e0d242efb15e679a4572f6ff160c",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-27T21:17:35Z",
    "title_canon_sha256": "4c68fbe3796b98c001182091517dc73b340751588204e0487a206db3846e24e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08672",
    "kind": "arxiv",
    "version": 1
  }
}