Pith Number

pith:37K74DJV

pith:2013:37K74DJVGV4J3ZYHQLO7JA43WV

not attested not anchored not stored refs pending

Transition Probabilities of Positive Linear Functionals on $*$-Algebras

Konrad Schm\"udgen

arxiv:1304.6322 v1 · 2013-04-23 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37K74DJVGV4J3ZYHQLO7JA43WV}

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	2026-05-18T03:27:21.821955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfd5fe0d3535789de70782ddf4839bb56f8c1aa0e2969379e3fba8706fdcbe21

Aliases

arxiv: 1304.6322 · arxiv_version: 1304.6322v1 · doi: 10.48550/arxiv.1304.6322 · pith_short_12: 37K74DJVGV4J · pith_short_16: 37K74DJVGV4J3ZYH · pith_short_8: 37K74DJV

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/37K74DJVGV4J3ZYHQLO7JA43WV \
  | 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: dfd5fe0d3535789de70782ddf4839bb56f8c1aa0e2969379e3fba8706fdcbe21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774fe820bb587f59671f711c0191c4739fa43c64f7242c086d2c5b87691351fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-04-23T15:30:35Z",
    "title_canon_sha256": "e3df042187d0ee2188e6b3cc5770edf0c5670a5b67ecff333f69a4d64056987a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6322",
    "kind": "arxiv",
    "version": 1
  }
}