Pith Number

pith:URCYSTQC

pith:2011:URCYSTQCCRMLSNQHRCQWTF3J56

not attested not anchored not stored refs pending

Model theory of operator algebras III: Elementary equivalence and II_1 factors

Bradd Hart, David Sherman, Ilijas Farah

arxiv:1111.0998 v1 · 2011-11-03 · math.OA · math.FA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URCYSTQCCRMLSNQHRCQWTF3J56}

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	2026-05-18T00:44:30.508205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a445894e021458b9360788a1699769ef9cb5f04b0c25eb80d97d9b1de15e555f

Aliases

arxiv: 1111.0998 · arxiv_version: 1111.0998v1 · doi: 10.48550/arxiv.1111.0998 · pith_short_12: URCYSTQCCRML · pith_short_16: URCYSTQCCRMLSNQH · pith_short_8: URCYSTQC

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/URCYSTQCCRMLSNQHRCQWTF3J56 \
  | 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: a445894e021458b9360788a1699769ef9cb5f04b0c25eb80d97d9b1de15e555f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ef2ff51552ef0754351da068ab988e55abb3df3c6cabf2a1a4f02a2ba3eab2",
    "cross_cats_sorted": [
      "math.FA",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-11-03T21:33:27Z",
    "title_canon_sha256": "9e714f8633102401178e0b559ecb03aa1c5740907d04a154adfd3b9dec049968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0998",
    "kind": "arxiv",
    "version": 1
  }
}