Pith Number

pith:O4DLOW23

pith:2012:O4DLOW23G2ZTO5WG64DA2UOX5R

not attested not anchored not stored refs pending

Vanishing quantum discord is not necessary for completely-positive maps

Aharon Brodutch, \'Angel Rivas, Animesh Datta, C\'esar A. Rodr\'iguez-Rosario, Kavan Modi

arxiv:1212.4387 v2 · 2012-12-18 · 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{O4DLOW23G2ZTO5WG64DA2UOX5R}

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	2026-05-18T03:29:05.095910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7706b75b5b36b33776c6f7060d51d7ec44c96903a3e1da49574721256317c0ca

Aliases

arxiv: 1212.4387 · arxiv_version: 1212.4387v2 · doi: 10.48550/arxiv.1212.4387 · pith_short_12: O4DLOW23G2ZT · pith_short_16: O4DLOW23G2ZTO5WG · pith_short_8: O4DLOW23

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/O4DLOW23G2ZTO5WG64DA2UOX5R \
  | 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: 7706b75b5b36b33776c6f7060d51d7ec44c96903a3e1da49574721256317c0ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8b0781a8c20974031cebcc0c6212c9c2a46910c4677293c249b3e313db8dd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-12-18T15:37:56Z",
    "title_canon_sha256": "c382a598267744ee3f23c3dad150e7d80d97c62e3d38e29e2e32c2dc074359ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4387",
    "kind": "arxiv",
    "version": 2
  }
}