Pith Number

pith:CROPGIOE

pith:2016:CROPGIOEKXMRTK2BEW3KBQ3SSS

not attested not anchored not stored refs pending

Entanglement distillation from Greenberger-Horne-Zeilinger shares

Matthias Christandl, P\'eter Vrana

arxiv:1603.03964 v2 · 2016-03-12 · quant-ph · cs.CC · 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{CROPGIOEKXMRTK2BEW3KBQ3SSS}

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	2026-05-18T00:31:00.516694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145cf321c455d919ab4125b6a0c372948dec177bf7a66f272523005a605b3c98

Aliases

arxiv: 1603.03964 · arxiv_version: 1603.03964v2 · doi: 10.48550/arxiv.1603.03964 · pith_short_12: CROPGIOEKXMR · pith_short_16: CROPGIOEKXMRTK2B · pith_short_8: CROPGIOE

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/CROPGIOEKXMRTK2BEW3KBQ3SSS \
  | 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: 145cf321c455d919ab4125b6a0c372948dec177bf7a66f272523005a605b3c98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3ca74261ce4b7950675dc9de19a6ce6eac352871cb88cc73420ba7094747e74",
    "cross_cats_sorted": [
      "cs.CC",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-12T21:03:41Z",
    "title_canon_sha256": "48a250a3ec92ee1b443022af5fe7c8568f447492ce954e1a7408eda6a99c3a02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03964",
    "kind": "arxiv",
    "version": 2
  }
}