Pith Number

pith:VFPKE3BR

pith:2003:VFPKE3BR5C3SKUBJYMW5D6QWFB

not attested not anchored not stored refs pending

Trade-off between multiple-copy transformation and entanglement catalysis

Mingsheng Ying, Runyao Duan, Xin Li, Yuan Feng

arxiv:quant-ph/0312010 v6 · 2003-12-01 · 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{VFPKE3BR5C3SKUBJYMW5D6QWFB}

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	2026-07-04T14:46:28.139353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95ea26c31e8b7255029c32dd1fa16286e9d746e735410c911fa9fe8f229812f

Aliases

arxiv: quant-ph/0312010 · arxiv_version: quant-ph/0312010v6 · doi: 10.48550/arxiv.quant-ph/0312010 · pith_short_12: VFPKE3BR5C3S · pith_short_16: VFPKE3BR5C3SKUBJ · pith_short_8: VFPKE3BR

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/VFPKE3BR5C3SKUBJYMW5D6QWFB \
  | 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: a95ea26c31e8b7255029c32dd1fa16286e9d746e735410c911fa9fe8f229812f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebe5c0de832b8be3a6030578252f922317be488d7819250532ce6e6e1dfc2e18",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-12-01T11:47:56Z",
    "title_canon_sha256": "098ba656e52f9aa3964e235c5da37bdf984ef06b8ba86acb3c217cabdc78c5a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0312010",
    "kind": "arxiv",
    "version": 6
  }
}