Pith Number

pith:MBZYS3LF

pith:2016:MBZYS3LFTCNSTRRFINHUZKCF3O

not attested not anchored not stored refs pending

Structure of modular invariant subalgebras in free Araki-Woods factors

Cyril Houdayer, R\'emi Boutonnet

arxiv:1602.01741 v2 · 2016-02-04 · 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{MBZYS3LFTCNSTRRFINHUZKCF3O}

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	2026-05-18T00:52:09.554466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6073896d65989b29c625434f4ca845dbb4a7fbca699f3a7c8fe214076a6b73d5

Aliases

arxiv: 1602.01741 · arxiv_version: 1602.01741v2 · doi: 10.48550/arxiv.1602.01741 · pith_short_12: MBZYS3LFTCNS · pith_short_16: MBZYS3LFTCNSTRRF · pith_short_8: MBZYS3LF

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/MBZYS3LFTCNSTRRFINHUZKCF3O \
  | 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: 6073896d65989b29c625434f4ca845dbb4a7fbca699f3a7c8fe214076a6b73d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1341a18a7b06b209a2183451ca8a0a40ec825906833261027be55faf3e70e0e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-02-04T16:43:56Z",
    "title_canon_sha256": "70e54c355e16d9f13afd60c7b998c594e6f01062b68bce2fec26bcdfbaf83f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01741",
    "kind": "arxiv",
    "version": 2
  }
}