Pith Number

pith:LFY2ACOQ

pith:2011:LFY2ACOQT4V3KDLVTEYMRTN5GN

not attested not anchored not stored refs pending

BMO spaces associated with semigroups of operators

Marius Junge, Tao Mei

arxiv:1111.6194 v1 · 2011-11-26 · math.CA · 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{LFY2ACOQT4V3KDLVTEYMRTN5GN}

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	2026-05-18T04:07:31.611279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5971a009d09f2bb50d759930c8cdbd337527397cc16b15ba23cba758d74be4eb

Aliases

arxiv: 1111.6194 · arxiv_version: 1111.6194v1 · doi: 10.48550/arxiv.1111.6194 · pith_short_12: LFY2ACOQT4V3 · pith_short_16: LFY2ACOQT4V3KDLV · pith_short_8: LFY2ACOQ

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/LFY2ACOQT4V3KDLVTEYMRTN5GN \
  | 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: 5971a009d09f2bb50d759930c8cdbd337527397cc16b15ba23cba758d74be4eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a306b8fa36065325754fcbbf443f9a08bdf9d3572d12d9f8e679944007534f",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-26T21:06:35Z",
    "title_canon_sha256": "309c6a33fbf01cbb595b51080a5f3cf2cabb43b3d9371c2e4e63458c566eb275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6194",
    "kind": "arxiv",
    "version": 1
  }
}