Pith Number

pith:X5OHTG7G

pith:2013:X5OHTG7G3HFXBPQH7LYQELFJZ2

not attested not anchored not stored refs pending

The depolarising channel and Horns problem

Janis Noetzel

arxiv:1302.6262 v1 · 2013-02-25 · quant-ph · cs.IT · math.IT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5OHTG7G3HFXBPQH7LYQELFJZ2}

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	2026-05-18T03:32:30.876080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5c799be6d9cb70be07faf1022ca9ce81bab483d626444fcad0ce5ff4fbec22

Aliases

arxiv: 1302.6262 · arxiv_version: 1302.6262v1 · doi: 10.48550/arxiv.1302.6262 · pith_short_12: X5OHTG7G3HFX · pith_short_16: X5OHTG7G3HFXBPQH · pith_short_8: X5OHTG7G

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/X5OHTG7G3HFXBPQH7LYQELFJZ2 \
  | 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: bf5c799be6d9cb70be07faf1022ca9ce81bab483d626444fcad0ce5ff4fbec22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74fda8623754a59312ee85154b5c54aed7b680247f2b39837c8d1f3f7619cebc",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-02-25T21:59:00Z",
    "title_canon_sha256": "32222449a5deb961be890d2174e925d99c19ff91300e59d48e69f07f4af15b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6262",
    "kind": "arxiv",
    "version": 1
  }
}