Pith Number

pith:6H223OPJ

pith:2026:6H223OPJ55UWLM3TTVSULNC3TR

not attested not anchored not stored refs pending

Geometric Optimization over Quantum State Spaces: Tight Uncertainty Relations and Resource Certification

Cong-Feng Qiao, Ma-Cheng Yang

arxiv:2602.00595 v2 · 2026-01-31 · 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{6H223OPJ55UWLM3TTVSULNC3TR}

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	2026-07-07T00:15:52.035206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f5adb9e9ef6965b3739d6545b45b9c4d6bdd2c7d7611d3d0837c6cbf340fc3

Aliases

arxiv: 2602.00595 · arxiv_version: 2602.00595v2 · doi: 10.48550/arxiv.2602.00595 · pith_short_12: 6H223OPJ55UW · pith_short_16: 6H223OPJ55UWLM3T · pith_short_8: 6H223OPJ

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/6H223OPJ55UWLM3TTVSULNC3TR \
  | 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: f1f5adb9e9ef6965b3739d6545b45b9c4d6bdd2c7d7611d3d0837c6cbf340fc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61c854f91b88b99d156ddfcf5e02abec1e4d25cddda30d4f6ee63a5b771f3542",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-01-31T08:21:17Z",
    "title_canon_sha256": "2a4f439963583219c229eab5f49f6eb7d3826ff2c356f0c227130f610ffa2126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.00595",
    "kind": "arxiv",
    "version": 2
  }
}