Pith Number

pith:MRWR4KJI

pith:2022:MRWR4KJIDPVT3P6NGD66RJXCSJ

not attested not anchored not stored refs pending

Random Multiple Operator Integrals

Shih-Yu Chang

arxiv:2210.09392 v1 · 2022-10-17 · 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{MRWR4KJIDPVT3P6NGD66RJXCSJ}

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.

Cited by

1 paper in Pith

Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields

Receipt and verification

First computed	2026-07-05T05:07:24.315141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646d1e29281beb3dbfcd30fde8a6e2924eedbf85b05631cbbe8f6732c6518a73

Aliases

arxiv: 2210.09392 · arxiv_version: 2210.09392v1 · doi: 10.48550/arxiv.2210.09392 · pith_short_12: MRWR4KJIDPVT · pith_short_16: MRWR4KJIDPVT3P6N · pith_short_8: MRWR4KJI

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/MRWR4KJIDPVT3P6NGD66RJXCSJ \
  | 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: 646d1e29281beb3dbfcd30fde8a6e2924eedbf85b05631cbbe8f6732c6518a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65fd9eec4de5498928393be811bf64ffebc4079cf093b138ec1fce4c2922f637",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-10-17T19:44:54Z",
    "title_canon_sha256": "57f8c2752306e3a8989056801f844500967635d4c69eee89b285a5c5aa662b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.09392",
    "kind": "arxiv",
    "version": 1
  }
}