Pith Number

pith:O46GSFSS

pith:2013:O46GSFSSTUWMAHW5RZALYT6UPH

not attested not anchored not stored refs pending

On the extreme points of quantum channels

Raphael Loewy, Shmuel Friedland

arxiv:1309.5898 v3 · 2013-09-23 · math-ph · math.MP · 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{O46GSFSSTUWMAHW5RZALYT6UPH}

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	2026-05-18T02:39:09.066653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

773c6916529d2cc01edd8e40bc4fd479dc769ff61116f4c4c7e8224ac7920ea6

Aliases

arxiv: 1309.5898 · arxiv_version: 1309.5898v3 · doi: 10.48550/arxiv.1309.5898 · pith_short_12: O46GSFSSTUWM · pith_short_16: O46GSFSSTUWMAHW5 · pith_short_8: O46GSFSS

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/O46GSFSSTUWMAHW5RZALYT6UPH \
  | 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: 773c6916529d2cc01edd8e40bc4fd479dc769ff61116f4c4c7e8224ac7920ea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37abb38503ba0923672ea9dc5b4a51c6a3baedef2f2030038401571ec53770ac",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-23T17:58:25Z",
    "title_canon_sha256": "487aac66611cd363e7e77e537272352cb643763f05922645c74e7bbafd52c7b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5898",
    "kind": "arxiv",
    "version": 3
  }
}