Pith Number

pith:7RTZ5O2F

pith:2019:7RTZ5O2FSDIF5755FDJAVX4757

not attested not anchored not stored refs pending

Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality

Dariusz Chru\'sci\'nski, Farrukh Mukhamedov

arxiv:1908.05702 v1 · 2019-08-15 · 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{7RTZ5O2FSDIF5755FDJAVX4757}

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	2026-07-05T00:23:43.485139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc679ebb4590d05effbd28d20adf9fefcac4ad1a1f924090a56614fe58665f8d

Aliases

arxiv: 1908.05702 · arxiv_version: 1908.05702v1 · doi: 10.48550/arxiv.1908.05702 · pith_short_12: 7RTZ5O2FSDIF · pith_short_16: 7RTZ5O2FSDIF5755 · pith_short_8: 7RTZ5O2F

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/7RTZ5O2FSDIF5755FDJAVX4757 \
  | 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: fc679ebb4590d05effbd28d20adf9fefcac4ad1a1f924090a56614fe58665f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "186e8d1d1b9f56c52f99978000e8030908f69b0a450f5a8dfdb99a815c418017",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-15T18:35:01Z",
    "title_canon_sha256": "9ff07ebea9dc2468f1f0d957da6bb6c0acb7f4552636b06df6ac54d4edf4db52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05702",
    "kind": "arxiv",
    "version": 1
  }
}