Pith Number

pith:VX6F2KLA

pith:2014:VX6F2KLAD5VJAMP5XM3SLBAXEB

not attested not anchored not stored refs pending

Inequality for Burkholder's martingale transform

Paata Ivanisvili

arxiv:1402.4751 v2 · 2014-02-19 · 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{VX6F2KLAD5VJAMP5XM3SLBAXEB}

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	2026-05-18T01:22:24.334414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adfc5d29601f6a9031fdbb3725841720570715aca774f7ca1cc07fcff66271fd

Aliases

arxiv: 1402.4751 · arxiv_version: 1402.4751v2 · doi: 10.48550/arxiv.1402.4751 · pith_short_12: VX6F2KLAD5VJ · pith_short_16: VX6F2KLAD5VJAMP5 · pith_short_8: VX6F2KLA

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/VX6F2KLAD5VJAMP5XM3SLBAXEB \
  | 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: adfc5d29601f6a9031fdbb3725841720570715aca774f7ca1cc07fcff66271fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46aa31ab358117173ffbeb65cc9886d90560194cfd96c9793a87484b49627505",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-19T18:09:00Z",
    "title_canon_sha256": "f8154a17f743d7758cd590a5af6244ef29593c094d0f5725df4f978f3839c2ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4751",
    "kind": "arxiv",
    "version": 2
  }
}