Pith Number

pith:HN5K7G65

pith:2018:HN5K7G65SPCO7G56INSHOPY4KL

not attested not anchored not stored refs pending

The von Neumann Entropy for Mixed States

Arturo Z\'u\~niga-Segundo, H\'ector M. Moya-Cessa, Jorge A. Anaya-Contreras

arxiv:1804.09698 v1 · 2018-04-25 · 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{HN5K7G65SPCO7G56INSHOPY4KL}

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	2026-05-17T23:55:14.758668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b7aaf9bdd93c4ef9bbe4364773f1c52f3ea4bef41cb8ccc93f1ccb5dfc9ad2d

Aliases

arxiv: 1804.09698 · arxiv_version: 1804.09698v1 · doi: 10.48550/arxiv.1804.09698 · pith_short_12: HN5K7G65SPCO · pith_short_16: HN5K7G65SPCO7G56 · pith_short_8: HN5K7G65

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/HN5K7G65SPCO7G56INSHOPY4KL \
  | 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: 3b7aaf9bdd93c4ef9bbe4364773f1c52f3ea4bef41cb8ccc93f1ccb5dfc9ad2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534fabec13c684a2095f165ae0438c92a170235b0fc52143959a5db0e91601e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-04-25T17:45:47Z",
    "title_canon_sha256": "b632843e4678a1216168c8478a1d63063818728f90ba3c1b9c03ebd948ac27e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09698",
    "kind": "arxiv",
    "version": 1
  }
}