Pith Number

pith:3TYZOASK

pith:2011:3TYZOASKM4C3ZZHQFRV6XQNB26

not attested not anchored not stored refs pending

Properties of a geometric measure for quantum discord

A. Plastino, A.R. Plastino, J. Batle, M. Casas

arxiv:1103.0704 v4 · 2011-03-03 · 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{3TYZOASKM4C3ZZHQFRV6XQNB26}

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	2026-05-18T04:26:01.292602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf197024a6705bce4f02c6bebc1a1d7b95ceafe7ce412b76cc008adc07c41ec

Aliases

arxiv: 1103.0704 · arxiv_version: 1103.0704v4 · doi: 10.48550/arxiv.1103.0704 · pith_short_12: 3TYZOASKM4C3 · pith_short_16: 3TYZOASKM4C3ZZHQ · pith_short_8: 3TYZOASK

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/3TYZOASKM4C3ZZHQFRV6XQNB26 \
  | 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: dcf197024a6705bce4f02c6bebc1a1d7b95ceafe7ce412b76cc008adc07c41ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eaf4449af675604951c54c361fffbc51c859394d3941130e9f45a4db4a39c6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-03T14:46:46Z",
    "title_canon_sha256": "a097af6a7db54e1e1fa850976d103b37f14198f721261c8d97e6d92f9254acb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0704",
    "kind": "arxiv",
    "version": 4
  }
}