Pith Number

pith:S4QP6YVM

pith:2006:S4QP6YVMD4IIT44ESW43Y6KFTT

not attested not anchored not stored refs pending

Entanglement Is Not Necessary for Perfect Discrimination between Unitary Operations

Mingsheng Ying, Runyao Duan, Yuan Feng

arxiv:quant-ph/0601150 v5 · 2006-01-22 · 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{S4QP6YVMD4IIT44ESW43Y6KFTT}

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	2026-07-04T15:00:29.248862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9720ff62ac1f1089f38495b9bc79459cdded2f44cc146fd1f7f2c3fba4e02ed9

Aliases

arxiv: quant-ph/0601150 · arxiv_version: quant-ph/0601150v5 · doi: 10.48550/arxiv.quant-ph/0601150 · pith_short_12: S4QP6YVMD4II · pith_short_16: S4QP6YVMD4IIT44E · pith_short_8: S4QP6YVM

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/S4QP6YVMD4IIT44ESW43Y6KFTT \
  | 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: 9720ff62ac1f1089f38495b9bc79459cdded2f44cc146fd1f7f2c3fba4e02ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ea992f08b8b2f9a50815b7dc49beea9a740e4026458353f61b1ea36778b665a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-01-22T14:49:51Z",
    "title_canon_sha256": "05d4403cea82a3d96bc72be5aa8894608a3479343d18620591852a03ac14fb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0601150",
    "kind": "arxiv",
    "version": 5
  }
}