Pith Number

pith:GM7TJMHO

pith:2011:GM7TJMHOC73HAV5ABP2AMDVQ7P

not attested not anchored not stored refs pending

Unified entropy, entanglement measures and monogamy of multi-party entanglement

Barry C. Sanders, Jeong San Kim

arxiv:1104.1675 v1 · 2011-04-09 · 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{GM7TJMHOC73HAV5ABP2AMDVQ7P}

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	2026-05-18T04:19:40.985048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333f34b0ee17f67057a00bf4060eb0fbfb803efe004d11cfa3756f9755b34a78

Aliases

arxiv: 1104.1675 · arxiv_version: 1104.1675v1 · doi: 10.48550/arxiv.1104.1675 · pith_short_12: GM7TJMHOC73H · pith_short_16: GM7TJMHOC73HAV5A · pith_short_8: GM7TJMHO

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/GM7TJMHOC73HAV5ABP2AMDVQ7P \
  | 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: 333f34b0ee17f67057a00bf4060eb0fbfb803efe004d11cfa3756f9755b34a78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb09c70e6c8fb635e5ae26fc5b58f22376f46f66048f4e0282224b77b36f52e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-09T05:49:09Z",
    "title_canon_sha256": "e2142f83392039b005e5fdd148cb67f9ae7ca97cc05a17160843fbfa027fa14c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1675",
    "kind": "arxiv",
    "version": 1
  }
}