Pith Number

pith:XT7D3NTV

pith:2011:XT7D3NTVRKYKNFIGNCNZWTABQX

not attested not anchored not stored refs pending

Quantum discord for general two--qubit states: Analytical progress

Davide Girolami, Gerardo Adesso

arxiv:1103.3189 v2 · 2011-03-16 · quant-ph · cond-mat.stat-mech · 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{XT7D3NTVRKYKNFIGNCNZWTABQX}

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	2026-05-18T04:21:50.392432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcfe3db6758ab0a69506689b9b4c0185f04dcc6b11f5a7b6724bcff571c0a1f9

Aliases

arxiv: 1103.3189 · arxiv_version: 1103.3189v2 · doi: 10.48550/arxiv.1103.3189 · pith_short_12: XT7D3NTVRKYK · pith_short_16: XT7D3NTVRKYKNFIG · pith_short_8: XT7D3NTV

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/XT7D3NTVRKYKNFIGNCNZWTABQX \
  | 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: bcfe3db6758ab0a69506689b9b4c0185f04dcc6b11f5a7b6724bcff571c0a1f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a580fe84c6ca7211d4c383577979f98edb6423131d4e21e68f08db3184b8792b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-16T15:00:57Z",
    "title_canon_sha256": "3244a3da203589623af5817d8fedc922c02eb5bdf3bf8f47c34f760ef1e1f18d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3189",
    "kind": "arxiv",
    "version": 2
  }
}