Pith Number

pith:DLPXIBWK

pith:2014:DLPXIBWKUR27JA6HRD44U7YOWY

not attested not anchored not stored refs pending

Paving over arbitrary MASAs in von Neumann algebras

Sorin Popa, Stefaan Vaes

arxiv:1412.0631 v3 · 2014-12-01 · 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{DLPXIBWKUR27JA6HRD44U7YOWY}

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	2026-05-18T01:22:21.588741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1adf7406caa475f483c788f9ca7f0eb63d03d49d5089f926097deb8d1efcaf74

Aliases

arxiv: 1412.0631 · arxiv_version: 1412.0631v3 · doi: 10.48550/arxiv.1412.0631 · pith_short_12: DLPXIBWKUR27 · pith_short_16: DLPXIBWKUR27JA6H · pith_short_8: DLPXIBWK

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/DLPXIBWKUR27JA6HRD44U7YOWY \
  | 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: 1adf7406caa475f483c788f9ca7f0eb63d03d49d5089f926097deb8d1efcaf74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17dab86b685440960f909ab759455e60aa68e99261bd64e880f03476a0f5e914",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-12-01T20:24:47Z",
    "title_canon_sha256": "19c8e04973d9a59d1bc7481dfe5deeed60f118ec298876e37fedc150359a6d76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0631",
    "kind": "arxiv",
    "version": 3
  }
}