Pith Number

pith:JTORDBT2

pith:2015:JTORDBT2K3QUWL7MDHVU4U5MLG

not attested not anchored not stored refs pending

1-bounded entropy and regularity problems in von Neumann algebras

Ben Hayes

arxiv:1505.06682 v5 · 2015-05-25 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTORDBT2K3QUWL7MDHVU4U5MLG}

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	2026-05-18T00:41:23.404859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cdd11867a56e14b2fec19eb4e53ac5984491ee6c029ff696ec1c533c00cf88b

Aliases

arxiv: 1505.06682 · arxiv_version: 1505.06682v5 · doi: 10.48550/arxiv.1505.06682 · pith_short_12: JTORDBT2K3QU · pith_short_16: JTORDBT2K3QUWL7M · pith_short_8: JTORDBT2

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/JTORDBT2K3QUWL7MDHVU4U5MLG \
  | 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: 4cdd11867a56e14b2fec19eb4e53ac5984491ee6c029ff696ec1c533c00cf88b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0234fca4627107abe9b64ccafc47498560efc72eac2c9574cef69235a5704b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-25T16:35:30Z",
    "title_canon_sha256": "be894d32ba099e38288262efe25539785237f23330fd0e92c05ba6aefa738a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06682",
    "kind": "arxiv",
    "version": 5
  }
}