Pith Number

pith:6G4KNSON

pith:2012:6G4KNSONYNRHU3NCU7CDQVLKFV

not attested not anchored not stored refs pending

Higher order spectral shift for contractions

Anna Skripka, Denis Potapov, Fedor Sukochev

arxiv:1210.8227 v1 · 2012-10-31 · math.FA · 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{6G4KNSONYNRHU3NCU7CDQVLKFV}

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	2026-05-18T02:57:53.196260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b8a6c9cdc3627a6da2a7c438556a2d43a4296397286ef334f97eb126917071

Aliases

arxiv: 1210.8227 · arxiv_version: 1210.8227v1 · doi: 10.48550/arxiv.1210.8227 · pith_short_12: 6G4KNSONYNRH · pith_short_16: 6G4KNSONYNRHU3NC · pith_short_8: 6G4KNSON

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/6G4KNSONYNRHU3NCU7CDQVLKFV \
  | 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: f1b8a6c9cdc3627a6da2a7c438556a2d43a4296397286ef334f97eb126917071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "098f19b3c031a55fc9e351ff4951e65e1ae7c27002f3049f720b24c2476744b5",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-31T04:17:52Z",
    "title_canon_sha256": "d5a9ead48eb008ea8f08f3bc3b68521938d90942c5744443600729882078e3bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8227",
    "kind": "arxiv",
    "version": 1
  }
}