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Pith Number

pith:VC7HSNPJ

pith:2013:VC7HSNPJZT6WJLOAOYA7NZSBZW
not attested not anchored not stored refs pending

When asymptotic LOCC offers no advantage over finite LOCC

Debbie Leung, Honghao Fu, Laura Mancinska

arxiv:1312.5350 v1 · 2013-12-18 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VC7HSNPJZT6WJLOAOYA7NZSBZW}

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 2026-05-18T02:52:03.960431Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a8be7935e9ccfd64adc07601f6e641cdb59b69da34fa5e4fdd08cf195f681f83

Aliases

arxiv: 1312.5350 · arxiv_version: 1312.5350v1 · doi: 10.48550/arxiv.1312.5350 · pith_short_12: VC7HSNPJZT6W · pith_short_16: VC7HSNPJZT6WJLOA · pith_short_8: VC7HSNPJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VC7HSNPJZT6WJLOAOYA7NZSBZW \
  | 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: a8be7935e9ccfd64adc07601f6e641cdb59b69da34fa5e4fdd08cf195f681f83
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e291a3ddb7cb7bcc8b3cca7aa5e741c55efcd5b2205a21dc5c99d6de42b44a28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-18T21:43:26Z",
    "title_canon_sha256": "b4cbc94a81d4d34d5c69928cf9c0aa1a083eb88334cb4fe7b2a1a8c439476242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5350",
    "kind": "arxiv",
    "version": 1
  }
}