Pith Number

pith:TXCQBAAE

pith:2026:TXCQBAAE6YP7GVPE5JSAXT437Z

not attested not anchored not stored refs pending

Random-matrix reduction in projective quantum mechanics

Alexey A. Kryukov

arxiv:2606.19272 v1 · 2026-06-17 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXCQBAAE6YP7GVPE5JSAXT437Z}

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	2026-06-19T16:12:09.346469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dc5008004f61ff355e4ea640bcf9bfe68fe08d5d618bbfb7f404e8c8fb3e553

Aliases

arxiv: 2606.19272 · arxiv_version: 2606.19272v1 · doi: 10.48550/arxiv.2606.19272 · pith_short_12: TXCQBAAE6YP7 · pith_short_16: TXCQBAAE6YP7GVPE · pith_short_8: TXCQBAAE

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/TXCQBAAE6YP7GVPE5JSAXT437Z \
  | 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: 9dc5008004f61ff355e4ea640bcf9bfe68fe08d5d618bbfb7f404e8c8fb3e553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34cea50e2e5b70cc4ac9e9f9a7ef54cc5b5e29f9258ebc652165c8ba5ecb075d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-17T16:50:37Z",
    "title_canon_sha256": "1fe440903d98609693cfe4a14228a0974afadfe4639f735db47978f78be54374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19272",
    "kind": "arxiv",
    "version": 1
  }
}