Pith Number

pith:3PJIC3XA

pith:2011:3PJIC3XA5T4456EVOS4N2QN2RO

not attested not anchored not stored refs pending

Tensor C*-categories arising as bimodule categories of II_1 factors

S\'ebastien Falgui\`eres, Sven Raum

arxiv:1112.4088 v3 · 2011-12-17 · math.OA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PJIC3XA5T4456EVOS4N2QN2RO}

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	2026-05-18T03:31:45.140696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd2816ee0ecf9cef89574b8dd41ba8b85a4e2c855ae6cd3f2e9ac51db932f65

Aliases

arxiv: 1112.4088 · arxiv_version: 1112.4088v3 · doi: 10.48550/arxiv.1112.4088 · pith_short_12: 3PJIC3XA5T44 · pith_short_16: 3PJIC3XA5T4456EV · pith_short_8: 3PJIC3XA

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/3PJIC3XA5T4456EVOS4N2QN2RO \
  | 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: dbd2816ee0ecf9cef89574b8dd41ba8b85a4e2c855ae6cd3f2e9ac51db932f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e77786f292c43927e4f83d22566dda06a6508a980b796ceba0258868fa84e974",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-12-17T21:24:30Z",
    "title_canon_sha256": "c51b07149312befd4f91e13fc493815455a98359f982b87db87a609ad3122f1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4088",
    "kind": "arxiv",
    "version": 3
  }
}