Pith Number

pith:BNSXTREK

pith:2015:BNSXTREKLDAQ6AW2JVHZOGNA5X

not attested not anchored not stored refs pending

Asymptotic structure of free product von Neumann algebras

Cyril Houdayer, Yoshimichi Ueda

arxiv:1503.02460 v3 · 2015-03-09 · 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{BNSXTREKLDAQ6AW2JVHZOGNA5X}

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	2026-05-18T01:03:23.981443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b6579c48a58c10f02da4d4f9719a0edebd1c51e5f41979f5eb0511b64d38d5d

Aliases

arxiv: 1503.02460 · arxiv_version: 1503.02460v3 · doi: 10.48550/arxiv.1503.02460 · pith_short_12: BNSXTREKLDAQ · pith_short_16: BNSXTREKLDAQ6AW2 · pith_short_8: BNSXTREK

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/BNSXTREKLDAQ6AW2JVHZOGNA5X \
  | 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: 0b6579c48a58c10f02da4d4f9719a0edebd1c51e5f41979f5eb0511b64d38d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3ea79ef358df8dd93cccb91baca6552a524bf5a95e54d091dd82a389c6ad018",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-03-09T12:55:23Z",
    "title_canon_sha256": "9539e3d9a5b9c093148536933e2a81cd322fdfb85dcf8853df18ac683e5219a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02460",
    "kind": "arxiv",
    "version": 3
  }
}