Pith Number

pith:PNHXC52I

pith:2024:PNHXC52I7XHQAV7XRGRCQJUBRB

not attested not anchored not stored refs pending

Convergence of the Laws of Non-Hermitian Sums of Projections

Max Sun Zhou

arxiv:2411.17159 v2 · 2024-11-26 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNHXC52I7XHQAV7XRGRCQJUBRB}

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

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

Receipt and verification

First computed	2026-07-05T09:56:02.619772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4f717748fdcf0057f789a2282681884f84f7a7e41ccd1e554888840ca4246f

Aliases

arxiv: 2411.17159 · arxiv_version: 2411.17159v2 · doi: 10.48550/arxiv.2411.17159 · pith_short_12: PNHXC52I7XHQ · pith_short_16: PNHXC52I7XHQAV7X · pith_short_8: PNHXC52I

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/PNHXC52I7XHQAV7XRGRCQJUBRB \
  | 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: 7b4f717748fdcf0057f789a2282681884f84f7a7e41ccd1e554888840ca4246f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920e6a9a94f574986aea8d4b5ae7f555c18cfe29fbea36c4ac85c7069e243b01",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-11-26T07:01:16Z",
    "title_canon_sha256": "cc2e04396b16b073081fada93eece55f0a1d108a4a3192bc4e69632c8fc7f9ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17159",
    "kind": "arxiv",
    "version": 2
  }
}