Pith Number

pith:ZN7PCUK7

pith:2013:ZN7PCUK7W5NQQJT5GOIKGEB2R7

not attested not anchored not stored refs pending

Lp-Nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups

Julio Delgado, Michael Ruzhansky

arxiv:1303.4792 v2 · 2013-03-19 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZN7PCUK7W5NQQJT5GOIKGEB2R7}

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	2026-05-18T02:30:32.670275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7ef1515fb75b08267d3390a3103a8fc5fcf1a460b2d7f8809f215087410523

Aliases

arxiv: 1303.4792 · arxiv_version: 1303.4792v2 · doi: 10.48550/arxiv.1303.4792 · pith_short_12: ZN7PCUK7W5NQ · pith_short_16: ZN7PCUK7W5NQQJT5 · pith_short_8: ZN7PCUK7

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/ZN7PCUK7W5NQQJT5GOIKGEB2R7 \
  | 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: cb7ef1515fb75b08267d3390a3103a8fc5fcf1a460b2d7f8809f215087410523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f664f114435e587d062a583b2dc9dda26d54923a5cea3cfc6c8f7887c63a5e71",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-19T23:50:52Z",
    "title_canon_sha256": "ea073fd0c6e8baeb27fd7299800ff7157dc10b1dd90e2815ba56162cf554df4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4792",
    "kind": "arxiv",
    "version": 2
  }
}