Pith Number

pith:IXESIS23

pith:2013:IXESIS23YMGNC3QRLKVJU44QC4

not attested not anchored not stored refs pending

One modification of the martingale transform and its applications to paraproducts and stochastic integrals

Kristina Ana \v{S}kreb, Vjekoslav Kova\v{c}

arxiv:1307.6403 v3 · 2013-07-24 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXESIS23YMGNC3QRLKVJU44QC4}

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	2026-05-18T02:26:39.415836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c9244b5bc30cd16e115aaa9a7390170b16f4c9209ef0cfc667e65b556b968f

Aliases

arxiv: 1307.6403 · arxiv_version: 1307.6403v3 · doi: 10.48550/arxiv.1307.6403 · pith_short_12: IXESIS23YMGN · pith_short_16: IXESIS23YMGNC3QR · pith_short_8: IXESIS23

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/IXESIS23YMGNC3QRLKVJU44QC4 \
  | 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: 45c9244b5bc30cd16e115aaa9a7390170b16f4c9209ef0cfc667e65b556b968f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3618df1d0cd0c93ecbe3093e887414fe1d2aae868a5b5dd14f29b81103e52bff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-24T12:56:27Z",
    "title_canon_sha256": "ceda9517e088b5a1ff8fccc82e0898f1dc07f4746f52a2574e23844a066acb2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6403",
    "kind": "arxiv",
    "version": 3
  }
}