Pith Number

pith:JZMFCZQC

pith:2026:JZMFCZQCNQFTJ7XRCYBZZK75Z2

not attested not anchored not stored refs pending

Brownian Motion in Orthogonal and Symplectic Groups

Piet W. Brouwer, Zhiyang Tan

arxiv:2607.05094 v1 · 2026-07-06 · quant-ph · cond-mat.mes-hall · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZMFCZQCNQFTJ7XRCYBZZK75Z2}

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	2026-07-07T03:19:15.861281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e585166026c0b34fef116039cabfdceac90fecb6b69bdb370bd7c21d5907c22

Aliases

arxiv: 2607.05094 · arxiv_version: 2607.05094v1 · doi: 10.48550/arxiv.2607.05094 · pith_short_12: JZMFCZQCNQFT · pith_short_16: JZMFCZQCNQFTJ7XR · pith_short_8: JZMFCZQC

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/JZMFCZQCNQFTJ7XRCYBZZK75Z2 \
  | 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: 4e585166026c0b34fef116039cabfdceac90fecb6b69bdb370bd7c21d5907c22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23fe42e64cfe2354cfb73be7ca9013f8f5e8685e39b96fb39ec36494dc7331c1",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-06T13:52:52Z",
    "title_canon_sha256": "6da1744379895d42f57fb02e438af58178f6c57f8adf01a189f1099207a93da6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05094",
    "kind": "arxiv",
    "version": 1
  }
}