Pith Number

pith:ENZWMIBR

pith:2004:ENZWMIBR5IHES2VX2UTI62GLD2

not attested not anchored not stored refs pending

When Catalysis is Useful for Probabilistic Entanglement Transformation

Mingsheng Ying, Runyao Duan, Yuan Feng

arxiv:quant-ph/0403170 v2 · 2004-03-24 · 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{ENZWMIBR5IHES2VX2UTI62GLD2}

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	2026-07-04T16:50:15.094723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2373662031ea0e496ab7d5268f68cb1e864efb5bc67b75ba0f2961bdc8df974a

Aliases

arxiv: quant-ph/0403170 · arxiv_version: quant-ph/0403170v2 · doi: 10.48550/arxiv.quant-ph/0403170 · pith_short_12: ENZWMIBR5IHE · pith_short_16: ENZWMIBR5IHES2VX · pith_short_8: ENZWMIBR

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/ENZWMIBR5IHES2VX2UTI62GLD2 \
  | 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: 2373662031ea0e496ab7d5268f68cb1e864efb5bc67b75ba0f2961bdc8df974a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26a0378c6df40ace6861a09c13b634443cee46fcc7e63f294013f37211b34c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-03-24T01:58:59Z",
    "title_canon_sha256": "6d4aad969a84476432c12fbefdf47ead52cd649032bac9ac4db5d8d488fc7926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0403170",
    "kind": "arxiv",
    "version": 2
  }
}