Pith Number

pith:7IZR622G

pith:2018:7IZR622GPKAR4F7HFVPHDY742R

not attested not anchored not stored refs pending

Dynamical semigroups in the Birkhoff polytope of order 3 as a tool for analysis of quantum channels

Emil J. Zak, Mateusz Snamina

arxiv:1811.09506 v1 · 2018-11-23 · 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{7IZR622GPKAR4F7HFVPHDY742R}

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	2026-05-18T00:00:03.205860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa331f6b467a811e17e72d5e71e3fcd478a82370a84c62853508aa087ff6851a

Aliases

arxiv: 1811.09506 · arxiv_version: 1811.09506v1 · doi: 10.48550/arxiv.1811.09506 · pith_short_12: 7IZR622GPKAR · pith_short_16: 7IZR622GPKAR4F7H · pith_short_8: 7IZR622G

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/7IZR622GPKAR4F7HFVPHDY742R \
  | 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: fa331f6b467a811e17e72d5e71e3fcd478a82370a84c62853508aa087ff6851a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1503db42c4bed22aecad05ab7fe740a527a1f544811d4a631a630f3f1f671e0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-11-23T15:02:10Z",
    "title_canon_sha256": "5f69393d63fb8ad74a48dde2292a3dae173d445d145bb49d2f13b6cae9a85a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09506",
    "kind": "arxiv",
    "version": 1
  }
}