Pith Number

pith:FCM677YJ

pith:2011:FCM677YJ4DWHYR54F4PJVMEB54

not attested not anchored not stored refs pending

Unextendible product bases and extremal density matrices with positive partial transpose

Jan Myrheim, Jon Magne Leinaas, Per {\O}yvind Sollid

arxiv:1104.1318 v2 · 2011-04-07 · 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{FCM677YJ4DWHYR54F4PJVMEB54}

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	2026-05-18T03:23:47.132202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2899efff09e0ec7c47bc2f1e9ab081ef3ae183e84f8681fca2ed02b0a4322ab3

Aliases

arxiv: 1104.1318 · arxiv_version: 1104.1318v2 · doi: 10.48550/arxiv.1104.1318 · pith_short_12: FCM677YJ4DWH · pith_short_16: FCM677YJ4DWHYR54 · pith_short_8: FCM677YJ

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/FCM677YJ4DWHYR54F4PJVMEB54 \
  | 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: 2899efff09e0ec7c47bc2f1e9ab081ef3ae183e84f8681fca2ed02b0a4322ab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a849ab076a2e18e5dcb1fd5d843cd1fbc9a4f66ae0570e9805e8adf6c120ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-07T12:42:04Z",
    "title_canon_sha256": "c0886599fc0dd95a4fc47a1ff13d3c2b501b8cd3a06f97d982fd5c9c6a38e523"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1318",
    "kind": "arxiv",
    "version": 2
  }
}