Pith Number

pith:HLMXW3BJ

pith:2017:HLMXW3BJ7AQKCAN5KS6PJ2AQLM

not attested not anchored not stored refs pending

Extensions of the Hitsuda-Skorokhod integral

Peter Parczewski

arxiv:1711.06091 v1 · 2017-11-16 · 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{HLMXW3BJ7AQKCAN5KS6PJ2AQLM}

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	2026-05-18T00:30:23.318371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ad97b6c29f820a101bd54bcf4e8105b2d3f6a83b1187b8bde5995ccfbc77624

Aliases

arxiv: 1711.06091 · arxiv_version: 1711.06091v1 · doi: 10.48550/arxiv.1711.06091 · pith_short_12: HLMXW3BJ7AQK · pith_short_16: HLMXW3BJ7AQKCAN5 · pith_short_8: HLMXW3BJ

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/HLMXW3BJ7AQKCAN5KS6PJ2AQLM \
  | 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: 3ad97b6c29f820a101bd54bcf4e8105b2d3f6a83b1187b8bde5995ccfbc77624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeef2b2e4c8bb6511b59eac88e62c38571d436a8402ac3f88a85ee67726368e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-16T14:00:01Z",
    "title_canon_sha256": "f37456492fba412f21a61f70d12ec73bc1055f6d68b52efb76eb3b625c40b2b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06091",
    "kind": "arxiv",
    "version": 1
  }
}