Pith Number

pith:MJWRNWHQ

pith:2026:MJWRNWHQZ7P7FYT3N3NRHLZ3DT

not attested not anchored not stored refs pending

IntegrateUnitary.jl: A Julia package for symbolic integration over Haar measures

{\L}ukasz Pawela, Zbigniew Pucha{\l}a

arxiv:2605.23830 v1 · 2026-05-22 · quant-ph · cs.MS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJWRNWHQZ7P7FYT3N3NRHLZ3DT}

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	2026-05-25T02:02:34.467059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

626d16d8f0cfdff2e27b6edb13af3b1ce8e15431da5f94f379b5a32ff5529891

Aliases

arxiv: 2605.23830 · arxiv_version: 2605.23830v1 · doi: 10.48550/arxiv.2605.23830 · pith_short_12: MJWRNWHQZ7P7 · pith_short_16: MJWRNWHQZ7P7FYT3 · pith_short_8: MJWRNWHQ

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/MJWRNWHQZ7P7FYT3N3NRHLZ3DT \
  | 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: 626d16d8f0cfdff2e27b6edb13af3b1ce8e15431da5f94f379b5a32ff5529891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461acca6158206b61440aa81d7453f7b37472f2ce7de091bee57385a2adcc37b",
    "cross_cats_sorted": [
      "cs.MS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-22T16:36:35Z",
    "title_canon_sha256": "0336a654733a4e2108187ee184b436d7e8838b978f76fbfed73a4b7a154a3aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23830",
    "kind": "arxiv",
    "version": 1
  }
}