Pith Number

pith:JGUTI4M3

pith:2012:JGUTI4M3G5OASWP5QJLA73BJZU

not attested not anchored not stored refs pending

Necessary and sufficient conditions for local creation of quantum discord

Jinchuan Hou, Yu Guo

arxiv:1206.2159 v4 · 2012-06-11 · quant-ph · math-ph · math.FA · 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{JGUTI4M3G5OASWP5QJLA73BJZU}

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	2026-05-18T03:29:37.678643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49a934719b375c0959fd82560fec29cd3832e64e37505cc64298230676a97b3e

Aliases

arxiv: 1206.2159 · arxiv_version: 1206.2159v4 · doi: 10.48550/arxiv.1206.2159 · pith_short_12: JGUTI4M3G5OA · pith_short_16: JGUTI4M3G5OASWP5 · pith_short_8: JGUTI4M3

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/JGUTI4M3G5OASWP5QJLA73BJZU \
  | 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: 49a934719b375c0959fd82560fec29cd3832e64e37505cc64298230676a97b3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45168fa0309a994454d8505c666b44753ae5e3ea282f034c354b7a3fbfda2631",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-11T11:00:04Z",
    "title_canon_sha256": "0559aa54982a087e1812c6a221f66c3e68e6f0446f61e82be1efdbd815ca9634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2159",
    "kind": "arxiv",
    "version": 4
  }
}