Pith Number

pith:M6L3EVH3

pith:2016:M6L3EVH3PEU4GE5WZ4X3GZ4BWT

not attested not anchored not stored refs pending

Perfect Commuting-Operator Strategies for Linear System Games

Li Liu, Richard Cleve, William Slofstra

arxiv:1606.02278 v1 · 2016-06-07 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6L3EVH3PEU4GE5WZ4X3GZ4BWT}

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	2026-05-18T00:51:48.690001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6797b254fb7929c313b6cf2fb36781b4e844e11a00addc5c7072ae99ab8410e7

Aliases

arxiv: 1606.02278 · arxiv_version: 1606.02278v1 · doi: 10.48550/arxiv.1606.02278 · pith_short_12: M6L3EVH3PEU4 · pith_short_16: M6L3EVH3PEU4GE5W · pith_short_8: M6L3EVH3

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/M6L3EVH3PEU4GE5WZ4X3GZ4BWT \
  | 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: 6797b254fb7929c313b6cf2fb36781b4e844e11a00addc5c7072ae99ab8410e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d9c48e06f84d7aba55b01312a68a9a2164979451be549cf88eca73f3be3fb0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-06-07T19:49:50Z",
    "title_canon_sha256": "1aa225697adef840233b970ee95699429e891bce7f8678b62bae805bdb13aac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02278",
    "kind": "arxiv",
    "version": 1
  }
}