Pith Number

pith:6DFY2AVD

pith:2014:6DFY2AVDQWCVHQNVVGAH6QOFEQ

not attested not anchored not stored refs pending

Completely positive maps within the framework of direct-sum decomposition of state space

D. M. Tong, Longjiang Liu

arxiv:1407.2051 v1 · 2014-07-08 · 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{6DFY2AVDQWCVHQNVVGAH6QOFEQ}

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	2026-05-18T02:48:08.569931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0cb8d02a3858553c1b5a9807f41c52404649aef36a38dc01731842d16581cb9

Aliases

arxiv: 1407.2051 · arxiv_version: 1407.2051v1 · doi: 10.48550/arxiv.1407.2051 · pith_short_12: 6DFY2AVDQWCV · pith_short_16: 6DFY2AVDQWCVHQNV · pith_short_8: 6DFY2AVD

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/6DFY2AVDQWCVHQNVVGAH6QOFEQ \
  | 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: f0cb8d02a3858553c1b5a9807f41c52404649aef36a38dc01731842d16581cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2df16f8e48fa4d672ab43dc330342b301d735369c17adb792bc19550b3ce934",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-07-08T12:01:16Z",
    "title_canon_sha256": "95ef7370e5e6c6af039d424c425b52be4a9919597b26400b6072c363f69d7ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2051",
    "kind": "arxiv",
    "version": 1
  }
}