Pith Number

pith:IGG7AAIF

pith:2010:IGG7AAIFRHOQO5AKWPMTPS6Q6T

not attested not anchored not stored refs pending

Generalizations of Quantum Discord

Jianwei Xu

arxiv:1012.0632 v2 · 2010-12-03 · 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{IGG7AAIFRHOQO5AKWPMTPS6Q6T}

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	2026-05-18T02:04:35.605241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

418df0010589dd07740ab3d937cbd0f4d233b00128526f2ed9bccf0568d88ec3

Aliases

arxiv: 1012.0632 · arxiv_version: 1012.0632v2 · doi: 10.48550/arxiv.1012.0632 · pith_short_12: IGG7AAIFRHOQ · pith_short_16: IGG7AAIFRHOQO5AK · pith_short_8: IGG7AAIF

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/IGG7AAIFRHOQO5AKWPMTPS6Q6T \
  | 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: 418df0010589dd07740ab3d937cbd0f4d233b00128526f2ed9bccf0568d88ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45cbde497309e047d19bcdbacaa131d35176fcf486b7afbe38c2e276789c4145",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-03T03:58:21Z",
    "title_canon_sha256": "0e8da17e0488cdaf97c1d2ee54b8cc0e03369910f3365d974b83c1ab173bebf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0632",
    "kind": "arxiv",
    "version": 2
  }
}