Pith Number

pith:FP74SIBA

pith:2013:FP74SIBAO7V3UHJI4VZ3FAC4HP

not attested not anchored not stored refs pending

Three maximally entangled states can require two-way LOCC for local discrimination

Michael Nathanson

arxiv:1310.4220 v3 · 2013-10-15 · 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{FP74SIBAO7V3UHJI4VZ3FAC4HP}

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	2026-05-18T03:03:20.499181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bffc9202077ebba1d28e573b2805c3be24c242c9edc3cf45a5c757cdf0e2359

Aliases

arxiv: 1310.4220 · arxiv_version: 1310.4220v3 · doi: 10.48550/arxiv.1310.4220 · pith_short_12: FP74SIBAO7V3 · pith_short_16: FP74SIBAO7V3UHJI · pith_short_8: FP74SIBA

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/FP74SIBAO7V3UHJI4VZ3FAC4HP \
  | 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: 2bffc9202077ebba1d28e573b2805c3be24c242c9edc3cf45a5c757cdf0e2359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17a7ab2e5e280b24080dfd508854cfd3a07738571fccc8a5be5c6cd847f642bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-10-15T22:41:56Z",
    "title_canon_sha256": "383af4f239d3fbf935ecca6504a805afc6c26e5bef97eea291beb06f4b1124bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4220",
    "kind": "arxiv",
    "version": 3
  }
}