Pith Number

pith:O37FN6LA

pith:2017:O37FN6LAKX6BTSOFWQCXTFDGXL

not attested not anchored not stored refs pending

Martingale-coboundary decomposition for stationary random fields

Dalibor Volny

arxiv:1706.07978 v1 · 2017-06-24 · 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{O37FN6LAKX6BTSOFWQCXTFDGXL}

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	2026-05-18T00:41:46.980276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76fe56f96055fc19c9c5b405799466baf80446c5a663904b56f7123096ca851e

Aliases

arxiv: 1706.07978 · arxiv_version: 1706.07978v1 · doi: 10.48550/arxiv.1706.07978 · pith_short_12: O37FN6LAKX6B · pith_short_16: O37FN6LAKX6BTSOF · pith_short_8: O37FN6LA

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/O37FN6LAKX6BTSOFWQCXTFDGXL \
  | 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: 76fe56f96055fc19c9c5b405799466baf80446c5a663904b56f7123096ca851e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe7d44e481aac46230875ee2ccda95124c1534934e1c158002dfa97f1647bc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-24T16:18:37Z",
    "title_canon_sha256": "bc09bffe952b02873b1d48e9ae753f329656bf52be90cdbc0589f4645cd57846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07978",
    "kind": "arxiv",
    "version": 1
  }
}