Pith Number

pith:OAC3ALWV

pith:2007:OAC3ALWVP7YOY3DSPB5ZEFC6NF

not attested not anchored not stored refs pending

Squashed entanglement for multipartite states and entanglement measures based on the mixed convex roof

Dong Yang, Jonathan Oppenheim, Karol Horodecki, Michal Horodecki, Pawel Horodecki, Wei Song

arxiv:0704.2236 v3 · 2007-04-17 · 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{OAC3ALWVP7YOY3DSPB5ZEFC6NF}

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	2026-05-18T00:58:02.434988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7005b02ed57ff0ec6c72787b92145e6970a4f84295dc3dc51e318b822861eb7b

Aliases

arxiv: 0704.2236 · arxiv_version: 0704.2236v3 · doi: 10.48550/arxiv.0704.2236 · pith_short_12: OAC3ALWVP7YO · pith_short_16: OAC3ALWVP7YOY3DS · pith_short_8: OAC3ALWV

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/OAC3ALWVP7YOY3DSPB5ZEFC6NF \
  | 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: 7005b02ed57ff0ec6c72787b92145e6970a4f84295dc3dc51e318b822861eb7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c2b27d73e1d4db79fb148e46745bcdd24a3deb52bc15b32062b7dca38a85bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-04-17T20:27:29Z",
    "title_canon_sha256": "d619a5f57c053804c872d4804dcc61d1abae75593b218a769c444142bf7c3600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2236",
    "kind": "arxiv",
    "version": 3
  }
}