Pith. sign in
Pith Number

pith:CYS4PKYF

pith:2000:CYS4PKYF3SWK5ODBKUWD2NWUJW
not attested not anchored not stored refs pending

Entangled webs: Tight bound for symmetric sharing of entanglement

(2) Inst. Phys. SAS, Bratislava, Hayama, Japan, Masato Koashi (1), Nobuyuki Imoto (1) ((1) Soken, Slovakia), Vladimir Buzek (2)

arxiv:quant-ph/0007086 v1 · 2000-07-24 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CYS4PKYF3SWK5ODBKUWD2NWUJW}

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 2026-07-04T16:22:24.062116Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1625c7ab05dcacaeb861552c3d36d44db616f5d3e4208b2787a43b5a814b7b4a

Aliases

arxiv: quant-ph/0007086 · arxiv_version: quant-ph/0007086v1 · doi: 10.48550/arxiv.quant-ph/0007086 · pith_short_12: CYS4PKYF3SWK · pith_short_16: CYS4PKYF3SWK5ODB · pith_short_8: CYS4PKYF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CYS4PKYF3SWK5ODBKUWD2NWUJW \
  | 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: 1625c7ab05dcacaeb861552c3d36d44db616f5d3e4208b2787a43b5a814b7b4a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6d44e0b22c27d181ad12e017f324bb07c05c3304c56facf163a380a86803a712",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-07-24T14:14:04Z",
    "title_canon_sha256": "b9c2b8948aa2d6fbc21f584bfd26c4769df2d3231e20f6e39543274273212196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0007086",
    "kind": "arxiv",
    "version": 1
  }
}