Pith Number

pith:W4G6NMKZ

pith:2014:W4G6NMKZGGQHOBSUWKFXBD3CO3

not attested not anchored not stored refs pending

Extended necessary condition for local operations and classical communication: Tight bound for all measurements

Scott M. Cohen

arxiv:1410.6747 v3 · 2014-10-24 · 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{W4G6NMKZGGQHOBSUWKFXBD3CO3}

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	2026-05-18T01:37:35.516632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70de6b15931a0770654b28b708f6276f83f1d18a035f12d75e8b25e0ab5fab5

Aliases

arxiv: 1410.6747 · arxiv_version: 1410.6747v3 · doi: 10.48550/arxiv.1410.6747 · pith_short_12: W4G6NMKZGGQH · pith_short_16: W4G6NMKZGGQHOBSU · pith_short_8: W4G6NMKZ

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/W4G6NMKZGGQHOBSUWKFXBD3CO3 \
  | 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: b70de6b15931a0770654b28b708f6276f83f1d18a035f12d75e8b25e0ab5fab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2cfe95675fbb2adcd14ba761fa4967afa2a18d67d7ffe160dbd2ceb5d3a010b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-10-24T17:24:00Z",
    "title_canon_sha256": "2101e2926a7926212ea64251013233bad0c4aa7a3bcf91ca68e2dfa442d9facd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6747",
    "kind": "arxiv",
    "version": 3
  }
}