Pith Number

pith:XY5VTRAT

pith:2015:XY5VTRATJJGHWLGL2U2UTVITV3

not attested not anchored not stored refs pending

Multiparty Quantum Mutual Information: An alternative definition

Asutosh Kumar

arxiv:1504.07176 v2 · 2015-04-27 · 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{XY5VTRATJJGHWLGL2U2UTVITV3}

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	2026-05-18T00:39:04.988945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3b59c4134a4c7b2ccbd53549d513aedd543f1e71bf4f25b4a3ab0a4517ca60

Aliases

arxiv: 1504.07176 · arxiv_version: 1504.07176v2 · doi: 10.48550/arxiv.1504.07176 · pith_short_12: XY5VTRATJJGH · pith_short_16: XY5VTRATJJGHWLGL · pith_short_8: XY5VTRAT

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/XY5VTRATJJGHWLGL2U2UTVITV3 \
  | 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: be3b59c4134a4c7b2ccbd53549d513aedd543f1e71bf4f25b4a3ab0a4517ca60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "814fb0b52708372af8714f182c768d07f7bd6736406faa8e31d24773d2a39816",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-04-27T17:38:58Z",
    "title_canon_sha256": "a768dfd873655ab9b6a581d3bb6591e06f27b9d5479df6a05376af08363d138a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07176",
    "kind": "arxiv",
    "version": 2
  }
}