Pith Number

pith:UGDSTIXW

pith:2009:UGDSTIXWT27MOKPAGCFYHLLSJT

not attested not anchored not stored refs pending

Monogamy and polygamy for multi-qubit entanglement using R\'enyi entropy

Barry C. Sanders, Jeong San Kim

arxiv:0911.5180 v1 · 2009-11-27 · 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{UGDSTIXWT27MOKPAGCFYHLLSJT}

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	2026-05-18T04:38:59.265925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a18729a2f69ebec729e0308b83ad724ced22d95419b096b55ee54144620bc072

Aliases

arxiv: 0911.5180 · arxiv_version: 0911.5180v1 · doi: 10.48550/arxiv.0911.5180 · pith_short_12: UGDSTIXWT27M · pith_short_16: UGDSTIXWT27MOKPA · pith_short_8: UGDSTIXW

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/UGDSTIXWT27MOKPAGCFYHLLSJT \
  | 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: a18729a2f69ebec729e0308b83ad724ced22d95419b096b55ee54144620bc072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32885879ac016730f637852afdf2e3bb52da2623962eb7c0414df09478eb6253",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-11-27T00:51:23Z",
    "title_canon_sha256": "21a897bc6d68eac58e94e3fb437fedf4e5db96e2d67df5489838de08114c5752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5180",
    "kind": "arxiv",
    "version": 1
  }
}