Pith Number

pith:SIF76VRX

pith:2011:SIF76VRX7MZIDABNIQPL5W74IO

not attested not anchored not stored refs pending

Three-by-three bound entanglement with general unextendible product bases

{\L}ukasz Skowronek

arxiv:1105.2709 v1 · 2011-05-13 · math-ph · math.MP · 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{SIF76VRX7MZIDABNIQPL5W74IO}

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	2026-05-18T01:14:45.932752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

920bff5637fb3281802d441ebedbfc438f57a7ae7badc722ad858ef3573fbd0c

Aliases

arxiv: 1105.2709 · arxiv_version: 1105.2709v1 · doi: 10.48550/arxiv.1105.2709 · pith_short_12: SIF76VRX7MZI · pith_short_16: SIF76VRX7MZIDABN · pith_short_8: SIF76VRX

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/SIF76VRX7MZIDABNIQPL5W74IO \
  | 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: 920bff5637fb3281802d441ebedbfc438f57a7ae7badc722ad858ef3573fbd0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39e776f129916286d876652dd6f0e6447498968db40305bbf34ec75f834c930f",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-13T12:38:05Z",
    "title_canon_sha256": "de90b467c991d60d13c9eb2d001c51f40042f2ca67640f6194d02f66cdf02e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2709",
    "kind": "arxiv",
    "version": 1
  }
}