Pith Number

pith:YSRESFVW

pith:2011:YSRESFVWIF2W4ZNI26GXLQU3TH

not attested not anchored not stored refs pending

The Douglas property for multiplier algebras of operators

Scott McCullough, Tavan T. Trent

arxiv:1107.0980 v2 · 2011-07-05 · math.FA · 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{YSRESFVWIF2W4ZNI26GXLQU3TH}

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	2026-05-18T04:08:12.365916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4a24916b641756e65a8d78d75c29b99db89048792dff88d8eb0d7fbe6f99079

Aliases

arxiv: 1107.0980 · arxiv_version: 1107.0980v2 · doi: 10.48550/arxiv.1107.0980 · pith_short_12: YSRESFVWIF2W · pith_short_16: YSRESFVWIF2W4ZNI · pith_short_8: YSRESFVW

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/YSRESFVWIF2W4ZNI26GXLQU3TH \
  | 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: c4a24916b641756e65a8d78d75c29b99db89048792dff88d8eb0d7fbe6f99079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a301fe7c4a36af9d4f929f6de53e58a1cab2267f47ef57adbdeec5e06f98d61",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-05T20:09:11Z",
    "title_canon_sha256": "e60bbd7585a443c897467f10d2115b74dc42a19223633319cd270885e906535f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0980",
    "kind": "arxiv",
    "version": 2
  }
}