Pith Number

pith:ZMA24DNK

pith:2012:ZMA24DNKZBUAXNCJBDUQAILLWV

not attested not anchored not stored refs pending

Perturbation formulas for traces on normed ideals

Anna Skripka, Ken Dykema

arxiv:1211.0776 v3 · 2012-11-05 · 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{ZMA24DNKZBUAXNCJBDUQAILLWV}

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	2026-05-18T01:53:26.057011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb01ae0daac8680bb44908e900216bb561eab5b2c0c81379726daabdad8c8a54

Aliases

arxiv: 1211.0776 · arxiv_version: 1211.0776v3 · doi: 10.48550/arxiv.1211.0776 · pith_short_12: ZMA24DNKZBUA · pith_short_16: ZMA24DNKZBUAXNCJ · pith_short_8: ZMA24DNK

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/ZMA24DNKZBUAXNCJBDUQAILLWV \
  | 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: cb01ae0daac8680bb44908e900216bb561eab5b2c0c81379726daabdad8c8a54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "189c903a2fd850591bfd22cee298bacb3f271d403a085fecf41ca45dd696e825",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-05T07:07:12Z",
    "title_canon_sha256": "8062befa0c2207bbff9dea4d93a7b2b57db8f47dc234cb4d4ef653a19abe242c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0776",
    "kind": "arxiv",
    "version": 3
  }
}