Pith Number

pith:EDAQMBIQ

pith:2025:EDAQMBIQTQ7VD3HF4SHGUYN2BD

not attested not anchored not stored refs pending

Structure, Optimality, and Symmetry in Shadow Unitary Inversion

Guocheng Zhen, Jingu Xie, Mingrui Jing, Ranyiliu Chen, Xin Wang, Yu-Ao Chen

arxiv:2510.24880 v2 · 2025-10-28 · 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{EDAQMBIQTQ7VD3HF4SHGUYN2BD}

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	2026-05-29T01:04:57.519153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20c10605109c3f51ece5e48e6a61ba08fc4290128dfe2168d46b89f4b4b97881

Aliases

arxiv: 2510.24880 · arxiv_version: 2510.24880v2 · doi: 10.48550/arxiv.2510.24880 · pith_short_12: EDAQMBIQTQ7V · pith_short_16: EDAQMBIQTQ7VD3HF · pith_short_8: EDAQMBIQ

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/EDAQMBIQTQ7VD3HF4SHGUYN2BD \
  | 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: 20c10605109c3f51ece5e48e6a61ba08fc4290128dfe2168d46b89f4b4b97881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bbde4de185f4e5c073bcfe8a1f268563380d4bdb1c9be10b192ed56afc11e54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-10-28T18:28:07Z",
    "title_canon_sha256": "44f11f9a6ce8fbf23a52e1c9c224632aded21a1a3f450e7413fe557c9f51cea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.24880",
    "kind": "arxiv",
    "version": 2
  }
}