Pith Number

pith:ZWO5ECV7

pith:1997:ZWO5ECV7IJXHTHIIWFYFHGNTKY

not attested not anchored not stored refs pending

Spectral characterization of sums of commutators I

Nigel J. Kalton

arxiv:math/9709209 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{ZWO5ECV7IJXHTHIIWFYFHGNTKY}

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	2026-05-18T01:05:34.863148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd9dd20abf426e799d08b1705399b3561000d262381f4bc01c4c603613023081

Aliases

arxiv: math/9709209 · arxiv_version: math/9709209v1 · doi: 10.48550/arxiv.math/9709209 · pith_short_12: ZWO5ECV7IJXH · pith_short_16: ZWO5ECV7IJXHTHII · pith_short_8: ZWO5ECV7

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/ZWO5ECV7IJXHTHIIWFYFHGNTKY \
  | 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: cd9dd20abf426e799d08b1705399b3561000d262381f4bc01c4c603613023081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bed12c4ffacc42cb89308227fd74efde830d304adecadea055a7b6b16c66190",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1997-09-08T00:00:00Z",
    "title_canon_sha256": "5fd9a177fc9888336fe3238058dd064aa7f4e0014a1209fd2cbd1673962301a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9709209",
    "kind": "arxiv",
    "version": 1
  }
}