Pith Number

pith:H5GYVS47

pith:2014:H5GYVS47BTBQUIY3WPHNCMBEWV

not attested not anchored not stored refs pending

The Relation of Spatial and Tensor Product of Arveson Systems --- The Random Set Point of View

Volkmar Liebscher

arxiv:1409.2801 v1 · 2014-09-09 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5GYVS47BTBQUIY3WPHNCMBEWV}

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	2026-05-18T02:43:09.768966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f4d8acb9f0cc30a231bb3ced13024b57c6e5e156a77ebafd64ce0feec764f42

Aliases

arxiv: 1409.2801 · arxiv_version: 1409.2801v1 · doi: 10.48550/arxiv.1409.2801 · pith_short_12: H5GYVS47BTBQ · pith_short_16: H5GYVS47BTBQUIY3 · pith_short_8: H5GYVS47

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/H5GYVS47BTBQUIY3WPHNCMBEWV \
  | 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: 3f4d8acb9f0cc30a231bb3ced13024b57c6e5e156a77ebafd64ce0feec764f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c7b175263c8db8f638121fb8c7d107530eb775cdeb87cfc7bcbc718f76709c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-09-09T16:26:32Z",
    "title_canon_sha256": "af2687c7387a6d3734de73cef693eb8a9b3164dc65e92d02cd05224274c32f0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2801",
    "kind": "arxiv",
    "version": 1
  }
}