Pith Number

pith:I2RJ6GS2

pith:2009:I2RJ6GS2KY3V4IG7HJ4LVRAREN

not attested not anchored not stored refs pending

Spectral conditions for entanglement witnesses vs. bound entanglement

Andrzej Kossakowski, Dariusz Chruscinski, Gniewomir Sarbicki

arxiv:0908.1846 v2 · 2009-08-13 · 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{I2RJ6GS2KY3V4IG7HJ4LVRAREN}

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	2026-05-18T03:23:58.263027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46a29f1a5a56375e20df3a78bac4112370a061689a088c9da3c03f4c72d6658e

Aliases

arxiv: 0908.1846 · arxiv_version: 0908.1846v2 · doi: 10.48550/arxiv.0908.1846 · pith_short_12: I2RJ6GS2KY3V · pith_short_16: I2RJ6GS2KY3V4IG7 · pith_short_8: I2RJ6GS2

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/I2RJ6GS2KY3V4IG7HJ4LVRAREN \
  | 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: 46a29f1a5a56375e20df3a78bac4112370a061689a088c9da3c03f4c72d6658e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab580251bbe387ed8ed3cf16a754ddb4150b792aff93a61906b51491da6263b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-08-13T08:30:49Z",
    "title_canon_sha256": "5f5b6b556dcec17da9faeda07175c1dc461d857d675a1b07695a0664e1581cac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1846",
    "kind": "arxiv",
    "version": 2
  }
}