Pith Number

pith:VMK2AMR4

pith:2011:VMK2AMR4GF5BU4AYZX72LA7XHL

not attested not anchored not stored refs pending

Tight bounds for the quantum discord

Chengjie Zhang, C.H. Oh, Qing Chen, Sixia Yu

arxiv:1102.1301 v2 · 2011-02-07 · 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{VMK2AMR4GF5BU4AYZX72LA7XHL}

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	2026-05-18T04:27:47.219206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab15a0323c317a1a7018cdffa583f73ad97ecff10f75169b05e6a08b8fbfbf4c

Aliases

arxiv: 1102.1301 · arxiv_version: 1102.1301v2 · doi: 10.48550/arxiv.1102.1301 · pith_short_12: VMK2AMR4GF5B · pith_short_16: VMK2AMR4GF5BU4AY · pith_short_8: VMK2AMR4

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/VMK2AMR4GF5BU4AYZX72LA7XHL \
  | 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: ab15a0323c317a1a7018cdffa583f73ad97ecff10f75169b05e6a08b8fbfbf4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28dbc6674d65477de925dc9bde25d4b4f74f0e09b0437aef3871ad9f19924445",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-07T13:31:37Z",
    "title_canon_sha256": "b7c95b468c342bbf78b260e76ee2fa9a327fc308289c211fdc762f454613ddc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1301",
    "kind": "arxiv",
    "version": 2
  }
}