Pith Number

pith:CQYS4DTK

pith:2014:CQYS4DTKFEDWZWWMG6EHHMYLOL

not attested not anchored not stored refs pending

Group algebras acting on $L^p$-spaces

Eusebio Gardella, Hannes Thiel

arxiv:1408.6136 v2 · 2014-08-24 · 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{CQYS4DTKFEDWZWWMG6EHHMYLOL}

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	2026-05-18T01:07:49.156357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14312e0e6a29076cdacc378873b30b72fdac27809e7f33ceba4ca383da85ea0b

Aliases

arxiv: 1408.6136 · arxiv_version: 1408.6136v2 · doi: 10.48550/arxiv.1408.6136 · pith_short_12: CQYS4DTKFEDW · pith_short_16: CQYS4DTKFEDWZWWM · pith_short_8: CQYS4DTK

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/CQYS4DTKFEDWZWWMG6EHHMYLOL \
  | 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: 14312e0e6a29076cdacc378873b30b72fdac27809e7f33ceba4ca383da85ea0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fad51488fbd2a19e3a5f4d8472268bf7f71a1f576b3b69175bb505a8199f482f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-24T00:10:22Z",
    "title_canon_sha256": "43e7ed7170c03aee8d9f98fdb1ab169092f636fb8e4ffafeed4635e07cf8390d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6136",
    "kind": "arxiv",
    "version": 2
  }
}