Pith Number

pith:ZQNFO2IE

pith:2016:ZQNFO2IE4QK5YGAH67S2K3T3VD

not attested not anchored not stored refs pending

Identification of noncausal Ito processes from the stochastic Fourier coefficients II

Hideaki Uemura, Shigeyoshi Ogawa

arxiv:1603.09486 v1 · 2016-03-31 · 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{ZQNFO2IE4QK5YGAH67S2K3T3VD}

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	2026-05-18T01:17:58.494249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1a576904e415dc1807f7e5a56e7ba8e936d72de2b6032c3812662e3c4177a2

Aliases

arxiv: 1603.09486 · arxiv_version: 1603.09486v1 · doi: 10.48550/arxiv.1603.09486 · pith_short_12: ZQNFO2IE4QK5 · pith_short_16: ZQNFO2IE4QK5YGAH · pith_short_8: ZQNFO2IE

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/ZQNFO2IE4QK5YGAH67S2K3T3VD \
  | 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: cc1a576904e415dc1807f7e5a56e7ba8e936d72de2b6032c3812662e3c4177a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "477a3bb1154c60715f57f53399d1753be1ddbdfb516a732f6aaf4942f6d4e303",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-31T08:32:08Z",
    "title_canon_sha256": "d07a9d034fd138df662bb531f8dfd98ec6fac2a867d797f78a8f8ada550e7c10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09486",
    "kind": "arxiv",
    "version": 1
  }
}