Pith Number

pith:CKQBM2ZP

pith:2014:CKQBM2ZPQJNSSWUPYWUPYBTVKI

not attested not anchored not stored refs pending

Characterizing multipartite entanglement without shared reference frames

Claude Kl\"ockl, Marcus Huber

arxiv:1411.5399 v3 · 2014-11-19 · 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{CKQBM2ZPQJNSSWUPYWUPYBTVKI}

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.

Cited by

1 paper in Pith

Sector length distributions of recursively definable graph states through analytic combinatorics

Receipt and verification

First computed	2026-05-18T02:17:24.337262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a0166b2f825b295a8fc5a8fc06755224542dd1144c70df8c9b53a5448cae04

Aliases

arxiv: 1411.5399 · arxiv_version: 1411.5399v3 · doi: 10.48550/arxiv.1411.5399 · pith_short_12: CKQBM2ZPQJNS · pith_short_16: CKQBM2ZPQJNSSWUP · pith_short_8: CKQBM2ZP

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/CKQBM2ZPQJNSSWUPYWUPYBTVKI \
  | 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: 12a0166b2f825b295a8fc5a8fc06755224542dd1144c70df8c9b53a5448cae04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad260219d2fab87675f93213a854104b03a58f39f08cf0429731d9c6f044c507",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-11-19T22:36:57Z",
    "title_canon_sha256": "0ab9dc22759312673b8358af471e4c9d6df9a7176af921699cc3dd619a75c80c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5399",
    "kind": "arxiv",
    "version": 3
  }
}