Pith Number

pith:JCZ5CFYT

pith:2017:JCZ5CFYTFCBHRFFKG5EZYSDL2D

not attested not anchored not stored refs pending

Asymptotic properties of entanglement polytopes for large number of qubits

Adam Sawicki, Tomasz Maci\k{a}\.zek

arxiv:1706.05019 v3 · 2017-06-15 · 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{JCZ5CFYTFCBHRFFKG5EZYSDL2D}

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	2026-05-18T00:26:46.097075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b3d1171328827894aa37499c486bd0e746f75f6fbe100b02e199deba088c89

Aliases

arxiv: 1706.05019 · arxiv_version: 1706.05019v3 · doi: 10.48550/arxiv.1706.05019 · pith_short_12: JCZ5CFYTFCBH · pith_short_16: JCZ5CFYTFCBHRFFK · pith_short_8: JCZ5CFYT

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/JCZ5CFYTFCBHRFFKG5EZYSDL2D \
  | 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: 48b3d1171328827894aa37499c486bd0e746f75f6fbe100b02e199deba088c89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e087872df03fbc82daf8d0cc7bd00c0d38960bf9584692aa6aa1711aa504e9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-06-15T18:02:09Z",
    "title_canon_sha256": "ebd409b3deeff56bc5cb36f533c53056bd40cf8b2c1e0ca119060c787f1f29b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05019",
    "kind": "arxiv",
    "version": 3
  }
}