Pith Number

pith:ZJQW3QFS

pith:2017:ZJQW3QFSYBFWQHPNGYJI5O4OPZ

not attested not anchored not stored refs pending

On the martingale decompositions of Gundy, Meyer, and Yoeurp in infinite dimensions

Ivan Yaroslavtsev

arxiv:1712.00401 v2 · 2017-12-01 · math.PR · 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{ZJQW3QFSYBFWQHPNGYJI5O4OPZ}

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	2026-05-18T00:04:30.488132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca616dc0b2c04b681ded36128ebb8e7e5479d1ec34848de4723a6e4e1af40580

Aliases

arxiv: 1712.00401 · arxiv_version: 1712.00401v2 · doi: 10.48550/arxiv.1712.00401 · pith_short_12: ZJQW3QFSYBFW · pith_short_16: ZJQW3QFSYBFWQHPN · pith_short_8: ZJQW3QFS

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/ZJQW3QFSYBFWQHPNGYJI5O4OPZ \
  | 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: ca616dc0b2c04b681ded36128ebb8e7e5479d1ec34848de4723a6e4e1af40580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ae15744a40c277c881e8747b56a92fe1e78fa8cc3bef98cbdb2c8c23041dd0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-01T16:49:58Z",
    "title_canon_sha256": "8b23f44bf15339fcd79f80af2dcea61da34a274e9bcc6ff6c99d8ff3096a73aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00401",
    "kind": "arxiv",
    "version": 2
  }
}