Pith Number

pith:DXGORLRK

pith:2015:DXGORLRKJDHXPTKCBJNYWRFV7S

not attested not anchored not stored refs pending

Average subentropy, coherence and entanglement of random mixed quantum states

Arun Kumar Pati, Lin Zhang, Uttam Singh

arxiv:1510.08859 v2 · 2015-10-29 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXGORLRKJDHXPTKCBJNYWRFV7S}

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	2026-05-18T00:51:18.304059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dcce8ae2a48cf77cd420a5b8b44b5fcb4dddc0d4b9662fdc736026e2ac40538

Aliases

arxiv: 1510.08859 · arxiv_version: 1510.08859v2 · doi: 10.48550/arxiv.1510.08859 · pith_short_12: DXGORLRKJDHX · pith_short_16: DXGORLRKJDHXPTKC · pith_short_8: DXGORLRK

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/DXGORLRKJDHXPTKCBJNYWRFV7S \
  | 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: 1dcce8ae2a48cf77cd420a5b8b44b5fcb4dddc0d4b9662fdc736026e2ac40538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0673328677fddff5d3bd07a7317df80fff33f429f9dd08467691681d32055c98",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-10-29T20:02:28Z",
    "title_canon_sha256": "55e1d8f08d201d917220da046aaba9b31ba3d0bdae789eec53255daeab24234d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08859",
    "kind": "arxiv",
    "version": 2
  }
}