Pith Number

pith:3BBTKD7F

pith:2013:3BBTKD7FWPNXNM3XXDS6IIZ2CH

not attested not anchored not stored refs pending

Geometric quantum discord through the Schatten 1-norm

F. M. Paula, M. S. Sarandy, Thiago. R. de Oliveira

arxiv:1302.7034 v3 · 2013-02-27 · 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{3BBTKD7FWPNXNM3XXDS6IIZ2CH}

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	2026-05-18T03:21:23.615093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d843350fe5b3db76b377b8e5e4233a11e6d91a888048dd13edb0a45232c668c9

Aliases

arxiv: 1302.7034 · arxiv_version: 1302.7034v3 · doi: 10.48550/arxiv.1302.7034 · pith_short_12: 3BBTKD7FWPNX · pith_short_16: 3BBTKD7FWPNXNM3X · pith_short_8: 3BBTKD7F

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/3BBTKD7FWPNXNM3XXDS6IIZ2CH \
  | 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: d843350fe5b3db76b377b8e5e4233a11e6d91a888048dd13edb0a45232c668c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fd294e14452ade88f245ba3a7002389117e066fcc6ea7f641e26d989f152df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-02-27T23:51:38Z",
    "title_canon_sha256": "27e9f8a3d7f46ff8e029d2a9c8f1a5a90beabd9c85698c32af62dbba9fec5292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7034",
    "kind": "arxiv",
    "version": 3
  }
}