Pith Number

pith:3AIJHOZ7

pith:2012:3AIJHOZ7XDAL4RUPZWJPMAHTCY

not attested not anchored not stored refs pending

Criteria and new classes of k-positive maps

Chi-Kwong Li, Jinchuan Hou, Nung-sing Sze, Xiaofei Qi, Yiu-Tung Poon

arxiv:1211.0386 v2 · 2012-11-02 · quant-ph · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AIJHOZ7XDAL4RUPZWJPMAHTCY}

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	2026-05-18T03:31:06.464909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81093bb3fb8c0be468fcd92f600f3161ddb3bc33083c30ed1055f8c73352f55

Aliases

arxiv: 1211.0386 · arxiv_version: 1211.0386v2 · doi: 10.48550/arxiv.1211.0386 · pith_short_12: 3AIJHOZ7XDAL · pith_short_16: 3AIJHOZ7XDAL4RUP · pith_short_8: 3AIJHOZ7

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/3AIJHOZ7XDAL4RUPZWJPMAHTCY \
  | 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: d81093bb3fb8c0be468fcd92f600f3161ddb3bc33083c30ed1055f8c73352f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8204a55709a86fa8b11711f4769cb702d0ea8e3b8c176c9729ffb19849168863",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-02T08:02:48Z",
    "title_canon_sha256": "10c1e408f9ae7801b4e7597567749eeb4912846d281e8669591f70640292de0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0386",
    "kind": "arxiv",
    "version": 2
  }
}