Pith Number

pith:PWJDOE75

pith:2016:PWJDOE75VRHTZVHWZCYNCS3O4I

not attested not anchored not stored refs pending

Optimal approximation of Skorohod integrals

Andreas Neuenkirch, Peter Parczewski

arxiv:1609.09282 v1 · 2016-09-29 · 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{PWJDOE75VRHTZVHWZCYNCS3O4I}

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	2026-05-18T01:03:38.283370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d923713fdac4f3cd4f6c8b0d14b6ee2055fdfa6481f6056aa0c771dcaa8b2b9

Aliases

arxiv: 1609.09282 · arxiv_version: 1609.09282v1 · doi: 10.48550/arxiv.1609.09282 · pith_short_12: PWJDOE75VRHT · pith_short_16: PWJDOE75VRHTZVHW · pith_short_8: PWJDOE75

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/PWJDOE75VRHTZVHWZCYNCS3O4I \
  | 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: 7d923713fdac4f3cd4f6c8b0d14b6ee2055fdfa6481f6056aa0c771dcaa8b2b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3228cfcda530bea94a5db09861d00ee21449bc0eab4d76e9c0ff12053686b2b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-29T10:05:24Z",
    "title_canon_sha256": "85a219e4b63a1290928560c28d686d3a716c1778fb99dde221e53fa2c5477950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09282",
    "kind": "arxiv",
    "version": 1
  }
}