Pith Number

pith:NA3LJUB6

pith:2009:NA3LJUB6VT2E2LA3WFRJB3WHYU

not attested not anchored not stored refs pending

Information geometry of Gaussian channels

Alex Monras, Fabrizio Illuminati

arxiv:0911.1558 v2 · 2009-11-08 · quant-ph · cond-mat.other · 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{NA3LJUB6VT2E2LA3WFRJB3WHYU}

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	2026-05-18T02:24:46.400564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6836b4d03eacf44d2c1bb16290eec7c5301933947e0e764d36ff1a4b914f1721

Aliases

arxiv: 0911.1558 · arxiv_version: 0911.1558v2 · doi: 10.48550/arxiv.0911.1558 · pith_short_12: NA3LJUB6VT2E · pith_short_16: NA3LJUB6VT2E2LA3 · pith_short_8: NA3LJUB6

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/NA3LJUB6VT2E2LA3WFRJB3WHYU \
  | 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: 6836b4d03eacf44d2c1bb16290eec7c5301933947e0e764d36ff1a4b914f1721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536193fa6296addabf33d45181ca4faacc47b63889132276c0619ff9285cc472",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-11-08T21:05:08Z",
    "title_canon_sha256": "33723f1a3b5fe97d366769724ce91dcb75c88c39989ed3bfde3c7d1da0336643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1558",
    "kind": "arxiv",
    "version": 2
  }
}