Pith Number

pith:BFBYNAJO

pith:2016:BFBYNAJORUQGTGTMMAYTA35SCU

not attested not anchored not stored refs pending

Krein's trace formula for unitary operators and operator Lipschitz functions

Alexei Aleksandrov, Vladimir Peller

arxiv:1603.08275 v2 · 2016-03-28 · math.FA · math.CA · math.CV · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFBYNAJORUQGTGTMMAYTA35SCU}

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	2026-05-18T01:17:58.970882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

094386812e8d20699a6c6031306fb21534ddb8f14433448f4fd8df0753179093

Aliases

arxiv: 1603.08275 · arxiv_version: 1603.08275v2 · doi: 10.48550/arxiv.1603.08275 · pith_short_12: BFBYNAJORUQG · pith_short_16: BFBYNAJORUQGTGTM · pith_short_8: BFBYNAJO

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/BFBYNAJORUQGTGTMMAYTA35SCU \
  | 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: 094386812e8d20699a6c6031306fb21534ddb8f14433448f4fd8df0753179093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f486de365b6b57a2ffaa840fdddc2fa90ffd5f169598e04564c67fb078849a",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-28T01:01:40Z",
    "title_canon_sha256": "504b69b3008305927c879f9c61f3bf7450717192e4ba23d79ca429748fb86334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08275",
    "kind": "arxiv",
    "version": 2
  }
}