Pith Number

pith:362P4MGT

pith:2010:362P4MGT3FOJGSW7SYRZLQWV4B

not attested not anchored not stored refs pending

Maximal injective and mixing masas in group factors

Paul Jolissaint

arxiv:1004.0128 v3 · 2010-04-01 · 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{362P4MGT3FOJGSW7SYRZLQWV4B}

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	2026-05-18T04:42:36.114526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfb4fe30d3d95c934adf962395c2d5e056dd417c7a07d1f68d6321451ef3fb7c

Aliases

arxiv: 1004.0128 · arxiv_version: 1004.0128v3 · doi: 10.48550/arxiv.1004.0128 · pith_short_12: 362P4MGT3FOJ · pith_short_16: 362P4MGT3FOJGSW7 · pith_short_8: 362P4MGT

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/362P4MGT3FOJGSW7SYRZLQWV4B \
  | 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: dfb4fe30d3d95c934adf962395c2d5e056dd417c7a07d1f68d6321451ef3fb7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32bb421ad7b96e8328cc8d863556ad5aa1b9dae029271671d8966559c289dbc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-04-01T13:17:17Z",
    "title_canon_sha256": "05391bd4454413ea58d869485caacb2cc638216b52fbf97f1816aa76db4d5f7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0128",
    "kind": "arxiv",
    "version": 3
  }
}