Pith Number

pith:5TYOX4CP

pith:2015:5TYOX4CP6EIZGRW35RTQAYE3BP

not attested not anchored not stored refs pending

Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae

Anna Tomskova, Christian Le Merdy, Cl\'ement Coine, Denis Potapov, Fedor Sukochev

arxiv:1504.03843 v1 · 2015-04-15 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TYOX4CP6EIZGRW35RTQAYE3BP}

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	2026-05-18T02:18:41.943478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf0ebf04ff1119346dbec6700609b0bd97c34bfef8ad4451486239e15d494a1

Aliases

arxiv: 1504.03843 · arxiv_version: 1504.03843v1 · doi: 10.48550/arxiv.1504.03843 · pith_short_12: 5TYOX4CP6EIZ · pith_short_16: 5TYOX4CP6EIZGRW3 · pith_short_8: 5TYOX4CP

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/5TYOX4CP6EIZGRW35RTQAYE3BP \
  | 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: ecf0ebf04ff1119346dbec6700609b0bd97c34bfef8ad4451486239e15d494a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca424e521adf044e48e60a1de323e77153438d2234528d3332ba7a4b814329c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-15T09:51:12Z",
    "title_canon_sha256": "23a63ee6571ab76d1dd3576c2db824c45072aae32f8b431f8d3e42df834e268f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03843",
    "kind": "arxiv",
    "version": 1
  }
}