Pith Number

pith:LXFX2X2W

pith:2009:LXFX2X2WNNM2ISMGIOOZ5XOUOM

not attested not anchored not stored refs pending

Searching for extremal PPT entangled states

Janusz Grabowski, Maciej Lewenstein, Marek Ku\'s, Remigiusz Augusiak

arxiv:0907.4979 v3 · 2009-07-28 · 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{LXFX2X2WNNM2ISMGIOOZ5XOUOM}

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	2026-05-18T02:12:46.951188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dcb7d5f566b59a44986439d9eddd4731986e4b49c5f8e0babd67506da9afd6a

Aliases

arxiv: 0907.4979 · arxiv_version: 0907.4979v3 · doi: 10.48550/arxiv.0907.4979 · pith_short_12: LXFX2X2WNNM2 · pith_short_16: LXFX2X2WNNM2ISMG · pith_short_8: LXFX2X2W

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/LXFX2X2WNNM2ISMGIOOZ5XOUOM \
  | 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: 5dcb7d5f566b59a44986439d9eddd4731986e4b49c5f8e0babd67506da9afd6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a912bc1188f6e87ede251e36983bc71660d8e41b9d92fca3cc012325bd3f067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-07-28T19:46:56Z",
    "title_canon_sha256": "ed0ddc3450c6430f80b50c9b2b95fbc7055275bd97bb2caa1d607dc5f9ad61e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4979",
    "kind": "arxiv",
    "version": 3
  }
}