Pith Number

pith:S457FAVC

pith:2011:S457FAVCG4KASS6XPAPAYCLM2E

not attested not anchored not stored refs pending

Necessary conditions for optimality of decomposable entanglement witnesses

Seung-Hyeok Kye

arxiv:1108.0456 v2 · 2011-08-02 · 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{S457FAVCG4KASS6XPAPAYCLM2E}

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	2026-05-18T02:01:04.567675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973bf282a23714094bd7781e0c096cd12439ca38e7187a371f02b1af9643b82d

Aliases

arxiv: 1108.0456 · arxiv_version: 1108.0456v2 · doi: 10.48550/arxiv.1108.0456 · pith_short_12: S457FAVCG4KA · pith_short_16: S457FAVCG4KASS6X · pith_short_8: S457FAVC

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/S457FAVCG4KASS6XPAPAYCLM2E \
  | 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: 973bf282a23714094bd7781e0c096cd12439ca38e7187a371f02b1af9643b82d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "763bdc0533517bdb63da3458b5b33f79293956ddb5120011559611525e2400ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-08-02T01:41:02Z",
    "title_canon_sha256": "7f6cd9bce8bc1a933f4d3ca9035a7465f887e8c0bf5e1eaa87f695755fc8a45d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0456",
    "kind": "arxiv",
    "version": 2
  }
}