Pith Number

pith:BRQZ3FRV

pith:2024:BRQZ3FRVJ5PUUHHRMCCVN3BWRD

not attested not anchored not stored refs pending

Quaternionic Green's Function and the Brown Measure of Atomic Operators

Max Sun Zhou

arxiv:2411.17166 v2 · 2024-11-26 · math.OA · 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{BRQZ3FRVJ5PUUHHRMCCVN3BWRD}

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	2026-07-05T09:56:56.960842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c619d96354f5f4a1cf1608556ec3688de4df0c874c5476dc02aa9416f13bd7e

Aliases

arxiv: 2411.17166 · arxiv_version: 2411.17166v2 · doi: 10.48550/arxiv.2411.17166 · pith_short_12: BRQZ3FRVJ5PU · pith_short_16: BRQZ3FRVJ5PUUHHR · pith_short_8: BRQZ3FRV

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/BRQZ3FRVJ5PUUHHRMCCVN3BWRD \
  | 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: 0c619d96354f5f4a1cf1608556ec3688de4df0c874c5476dc02aa9416f13bd7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93fc39c2a82d687d95ce54e693f9fb42e6acae3a61a86aad6af7ddb2bfe1ab9d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-11-26T07:10:35Z",
    "title_canon_sha256": "8678edca646a3af28f91655b3164ff9e07d433ca01ea7646578c0e5881a296d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17166",
    "kind": "arxiv",
    "version": 2
  }
}