Pith Number

pith:G6DA2D3D

pith:2016:G6DA2D3DWBMP4FKLUGKAF5KBZN

not attested not anchored not stored refs pending

On Faces of the set of Quantum Channels

Raphael Loewy

arxiv:1609.05890 v1 · 2016-09-18 · quant-ph · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6DA2D3DWBMP4FKLUGKAF5KBZN}

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	2026-05-18T01:04:17.121626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37860d0f63b058fe154ba19402f541cb55fa0ba7e16a3556439e8c34be93a295

Aliases

arxiv: 1609.05890 · arxiv_version: 1609.05890v1 · doi: 10.48550/arxiv.1609.05890 · pith_short_12: G6DA2D3DWBMP · pith_short_16: G6DA2D3DWBMP4FKL · pith_short_8: G6DA2D3D

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/G6DA2D3DWBMP4FKLUGKAF5KBZN \
  | 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: 37860d0f63b058fe154ba19402f541cb55fa0ba7e16a3556439e8c34be93a295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1b2fafe3feb75d3b186e89236719fe023e2afe9ed8e69aadc9dd6ab741bff14",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-18T09:30:04Z",
    "title_canon_sha256": "93a51163ff22b582f7b6bcdbd615fcb2d852d0f626dd92e8f9a5becebccbb67b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05890",
    "kind": "arxiv",
    "version": 1
  }
}