Pith Number

pith:MC3726D3

pith:2021:MC3726D3UG6DIKQ5QNSEO2YYNG

not attested not anchored not stored refs pending

Relating compatibility and divisibility of quantum channels

Cristhiano Duarte, Lorenzo Catani, Raphael C. Drumond

arxiv:2102.11168 v1 · 2021-02-22 · 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{MC3726D3UG6DIKQ5QNSEO2YYNG}

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	2026-07-05T04:43:32.124050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b7fd787ba1bc342a1d8364476b186993d19b45bc0701a40eff18c32d999a09

Aliases

arxiv: 2102.11168 · arxiv_version: 2102.11168v1 · doi: 10.48550/arxiv.2102.11168 · pith_short_12: MC3726D3UG6D · pith_short_16: MC3726D3UG6DIKQ5 · pith_short_8: MC3726D3

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/MC3726D3UG6DIKQ5QNSEO2YYNG \
  | 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: 60b7fd787ba1bc342a1d8364476b186993d19b45bc0701a40eff18c32d999a09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de160fa1720d74f5a320237d6a877898e219b8e2a2557f5b37f2faa8237b1307",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-02-22T16:46:07Z",
    "title_canon_sha256": "8a631f94461c7cbe8d031b16456fb32c36e8b47a3aa2623953e500b7dbf8eaed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.11168",
    "kind": "arxiv",
    "version": 1
  }
}