Pith Number

pith:UZGWVIKY

pith:2010:UZGWVIKYBK4VYSYBQNVK2GYXOX

not attested not anchored not stored refs pending

A Hilbert-Schmidt analog of Huaxin Lin's Theorem

Ilya Kachkovskiy, Nikolay Filonov

arxiv:1008.4002 v2 · 2010-08-24 · math.SP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZGWVIKYBK4VYSYBQNVK2GYXOX}

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	2026-05-18T04:37:32.907807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a64d6aa1580ab95c4b01836aad1b1775e64f2ccff66e83b3b53e740a982ced80

Aliases

arxiv: 1008.4002 · arxiv_version: 1008.4002v2 · doi: 10.48550/arxiv.1008.4002 · pith_short_12: UZGWVIKYBK4V · pith_short_16: UZGWVIKYBK4VYSYB · pith_short_8: UZGWVIKY

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/UZGWVIKYBK4VYSYBQNVK2GYXOX \
  | 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: a64d6aa1580ab95c4b01836aad1b1775e64f2ccff66e83b3b53e740a982ced80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e601fc1c2d62478769f5689c459968d86d9d3441497c99c5b50d11956cdcd1",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-08-24T10:09:45Z",
    "title_canon_sha256": "b3436ace32d09f2af46fcd44b38f79afb1b7950cc53bc183bbf0bc65d319942d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4002",
    "kind": "arxiv",
    "version": 2
  }
}