Pith Number

pith:LZKQAJYE

pith:2004:LZKQAJYERAKQBAYPCUU76JYHUT

not attested not anchored not stored refs pending

Multiple-copy entanglement transformation and entanglement catalysis

Mingsheng Ying, Runyao Duan, Xin Li, Yuan Feng

arxiv:quant-ph/0404148 v3 · 2004-04-26 · 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{LZKQAJYERAKQBAYPCUU76JYHUT}

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	2026-07-04T14:46:34.693557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e55002704881500830f1529ff2707a4e11b0380fbd84234e6c182dd221b4854

Aliases

arxiv: quant-ph/0404148 · arxiv_version: quant-ph/0404148v3 · doi: 10.48550/arxiv.quant-ph/0404148 · pith_short_12: LZKQAJYERAKQ · pith_short_16: LZKQAJYERAKQBAYP · pith_short_8: LZKQAJYE

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/LZKQAJYERAKQBAYPCUU76JYHUT \
  | 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: 5e55002704881500830f1529ff2707a4e11b0380fbd84234e6c182dd221b4854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4de3f6a64599ca6b60103d51f9d7d9c643f1408ffdc864e6875e3154e84f2c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-04-26T15:22:48Z",
    "title_canon_sha256": "2f9350bda4f16478dfe0a402fb95bec7f46490c3147bbc0572cd07199caad0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0404148",
    "kind": "arxiv",
    "version": 3
  }
}