Pith Number

pith:ZBETKOKG

pith:2001:ZBETKOKG446MJ5VB5DJZLBK36T

not attested not anchored not stored refs pending

Concurrence in arbitrary dimensions

Michal Horodecki, Pawel Horodecki, Piotr Badziag, Piotr Deuar, Ryszard Horodecki

arxiv:quant-ph/0107147 v1 · 2001-07-30 · 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{ZBETKOKG446MJ5VB5DJZLBK36T}

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	2026-07-04T16:29:02.589045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c849353946e73cc4f6a1e8d395855bf4f325114e076078fd012fda1a1ef75624

Aliases

arxiv: quant-ph/0107147 · arxiv_version: quant-ph/0107147v1 · doi: 10.48550/arxiv.quant-ph/0107147 · pith_short_12: ZBETKOKG446M · pith_short_16: ZBETKOKG446MJ5VB · pith_short_8: ZBETKOKG

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/ZBETKOKG446MJ5VB5DJZLBK36T \
  | 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: c849353946e73cc4f6a1e8d395855bf4f325114e076078fd012fda1a1ef75624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4e6673b102d6aec0bc91c1703dc42b401ce2b6e8ce9b5035944a6b4740737e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-07-30T11:17:28Z",
    "title_canon_sha256": "1b54c69d7604279e849fff3071aa378268ab3eb2852d5d018951b230b75d149f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0107147",
    "kind": "arxiv",
    "version": 1
  }
}