Pith Number

pith:SOOEE2NT

pith:2011:SOOEE2NTS6LJERJ52FOPVKU7XH

not attested not anchored not stored refs pending

On classical and quantum liftings

A. Kossakowski, D. Chru\'sci\'nski, L. Accardi, M. Ohya, T. Matsuoka

arxiv:1102.0182 v1 · 2011-02-01 · quant-ph · math-ph · 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{SOOEE2NTS6LJERJ52FOPVKU7XH}

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	2026-05-18T04:30:13.029237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

939c4269b3979692453dd15cfaaa9fb9c34bcc0052bcac7e87ea8789e5b18f07

Aliases

arxiv: 1102.0182 · arxiv_version: 1102.0182v1 · doi: 10.48550/arxiv.1102.0182 · pith_short_12: SOOEE2NTS6LJ · pith_short_16: SOOEE2NTS6LJERJ5 · pith_short_8: SOOEE2NT

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/SOOEE2NTS6LJERJ52FOPVKU7XH \
  | 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: 939c4269b3979692453dd15cfaaa9fb9c34bcc0052bcac7e87ea8789e5b18f07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03357e5172f8969401f9a266a6295d28c23e2af87cb785a232b157c7575e79f2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-01T15:32:59Z",
    "title_canon_sha256": "117890d46ff7612bd6f9d273fa6fe263600a3f3fc37e71be02e2c0460843ae6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0182",
    "kind": "arxiv",
    "version": 1
  }
}