Pith Number

pith:BG7HSKGU

pith:1997:BG7HSKGUCKMSV5XKG3VQVWDMCA

not attested not anchored not stored refs pending

Spectral characterization of sums of commutators II

Kenneth J. Dykema, Nigel J. Kalton

arxiv:math/9709208 v1 · 1997-09-08 · 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{BG7HSKGUCKMSV5XKG3VQVWDMCA}

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	2026-05-18T01:05:34.871819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09be7928d412992af6ea36eb0ad86c10399f65d113a78e83b91a9e0fd6824978

Aliases

arxiv: math/9709208 · arxiv_version: math/9709208v1 · doi: 10.48550/arxiv.math/9709208 · pith_short_12: BG7HSKGUCKMS · pith_short_16: BG7HSKGUCKMSV5XK · pith_short_8: BG7HSKGU

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/BG7HSKGUCKMSV5XKG3VQVWDMCA \
  | 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: 09be7928d412992af6ea36eb0ad86c10399f65d113a78e83b91a9e0fd6824978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c900a542430e1f770ba7ff0f9c57d3ef2c1e9de521e3098bdf4401d92c9d81b3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1997-09-08T00:00:00Z",
    "title_canon_sha256": "e9b59b487ed1e167520f65724cb47d7897ae4ccff23a00867680bf16acf76fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9709208",
    "kind": "arxiv",
    "version": 1
  }
}