Pith Number

pith:42HELLB7

pith:2015:42HELLB7KZSZNGNBU5F4J4CUE2

not attested not anchored not stored refs pending

Degradable channels, less noisy channels, and quantum statistical morphisms: an equivalence relation

Francesco Buscemi

arxiv:1511.08893 v2 · 2015-11-28 · quant-ph · cs.IT · math.IT · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42HELLB7KZSZNGNBU5F4J4CUE2}

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	2026-05-18T00:56:12.364307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68e45ac3f56659699a1a74bc4f054268caff24af660950fa094e55e6c0be873

Aliases

arxiv: 1511.08893 · arxiv_version: 1511.08893v2 · doi: 10.48550/arxiv.1511.08893 · pith_short_12: 42HELLB7KZSZ · pith_short_16: 42HELLB7KZSZNGNB · pith_short_8: 42HELLB7

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/42HELLB7KZSZNGNBU5F4J4CUE2 \
  | 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: e68e45ac3f56659699a1a74bc4f054268caff24af660950fa094e55e6c0be873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc0b57134991a390b9951452223ca0164c4ea2330637817dc55776321608400",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-28T12:31:56Z",
    "title_canon_sha256": "e3b325f8bd0bb55780f1b76943917e217c06085ff920fe80a4b9bc7a992633cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08893",
    "kind": "arxiv",
    "version": 2
  }
}