Pith Number

pith:IGU3DSOZ

pith:2017:IGU3DSOZAQKPHKTGFKQQF2TNG2

not attested not anchored not stored refs pending

Gauge invariant information concerning quantum channels

Karol Zyczkowski, {\L}ukasz Rudnicki, Zbigniew Pucha{\l}a

arxiv:1707.06926 v2 · 2017-07-21 · 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{IGU3DSOZAQKPHKTGFKQQF2TNG2}

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	2026-05-18T00:18:41.491846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41a9b1c9d90414f3aa662aa102ea6d36bb9d904cb20bdd4130f6bc028d75b0b0

Aliases

arxiv: 1707.06926 · arxiv_version: 1707.06926v2 · doi: 10.48550/arxiv.1707.06926 · pith_short_12: IGU3DSOZAQKP · pith_short_16: IGU3DSOZAQKPHKTG · pith_short_8: IGU3DSOZ

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/IGU3DSOZAQKPHKTGFKQQF2TNG2 \
  | 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: 41a9b1c9d90414f3aa662aa102ea6d36bb9d904cb20bdd4130f6bc028d75b0b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8840c4f3538c7bea9ecc5b0e58e010a8184091844f3daa4bb11f7877e5d4d589",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-07-21T15:00:41Z",
    "title_canon_sha256": "fb2a8a001d34113470b16944765858ffdc18f7f61f150b77ba8dbf92fa3e15f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06926",
    "kind": "arxiv",
    "version": 2
  }
}