Pith Number

pith:MGAORV5Y

pith:2026:MGAORV5YERLXY3KNMHQVDI6RRC

not attested not anchored not stored refs pending

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank

Hossein Rangani Jahromi

arxiv:2607.04488 v1 · 2026-07-05 · 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{MGAORV5YERLXY3KNMHQVDI6RRC}

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	2026-07-07T02:19:21.765289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6180e8d7b824577c6d4d61e151a3d1888ac9963e3d46d0625d379013fe811cc9

Aliases

arxiv: 2607.04488 · arxiv_version: 2607.04488v1 · doi: 10.48550/arxiv.2607.04488 · pith_short_12: MGAORV5YERLX · pith_short_16: MGAORV5YERLXY3KN · pith_short_8: MGAORV5Y

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/MGAORV5YERLXY3KNMHQVDI6RRC \
  | 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: 6180e8d7b824577c6d4d61e151a3d1888ac9963e3d46d0625d379013fe811cc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f819b6d154050c47527c05dae075f87f450049f16387673fb2291fcce541de7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-05T20:25:43Z",
    "title_canon_sha256": "5a6153a17e21e070ad61a284ce51f062699831e3d45fcbeeb9d9bc894c20426b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04488",
    "kind": "arxiv",
    "version": 1
  }
}