Pith Number

pith:74XO2FLM

pith:2004:74XO2FLMKML7ZPWLWXPFG3IC5J

not attested not anchored not stored refs pending

Entanglement-assisted transformation is asymptotically equivalent to multiple-copy transformation

Mingsheng Ying, Runyao Duan, Yuan Feng

arxiv:quant-ph/0412077 v2 · 2004-12-10 · 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{74XO2FLMKML7ZPWLWXPFG3IC5J}

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	2026-07-04T14:46:52.839633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff2eed156c5317fcbecbb5de536d02ea589452f5ca942922c27daa79c93c9287

Aliases

arxiv: quant-ph/0412077 · arxiv_version: quant-ph/0412077v2 · doi: 10.48550/arxiv.quant-ph/0412077 · pith_short_12: 74XO2FLMKML7 · pith_short_16: 74XO2FLMKML7ZPWL · pith_short_8: 74XO2FLM

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/74XO2FLMKML7ZPWLWXPFG3IC5J \
  | 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: ff2eed156c5317fcbecbb5de536d02ea589452f5ca942922c27daa79c93c9287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d4240c43ed9a7dba4a8fe6f4eb46cad151319bd2a119757d223e1ae849299a0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-12-10T05:58:10Z",
    "title_canon_sha256": "0ec2458f8d9798f966e855ca83c69a0f6680862bc1fbb35091e8b8a78bbadf89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0412077",
    "kind": "arxiv",
    "version": 2
  }
}