Pith Number

pith:I4HGDV2E

pith:1992:I4HGDV2EQKZ7EFMMXTOFCGKI5H

not attested not anchored not stored refs pending

A Non-Spectral Dense Banach Subalgebra of the Irrational Rotation Algebra

Larry B. Schweitzer

arxiv:funct-an/9211006 v1 · 1992-11-25 · funct-an · 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{I4HGDV2EQKZ7EFMMXTOFCGKI5H}

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	2026-05-18T01:20:54.294897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

470e61d74482b3f2158cbcdc511948e9dd0683c044abafd61046cf5df126f6ab

Aliases

arxiv: funct-an/9211006 · arxiv_version: funct-an/9211006v1 · doi: 10.48550/arxiv.funct-an/9211006 · pith_short_12: I4HGDV2EQKZ7 · pith_short_16: I4HGDV2EQKZ7EFMM · pith_short_8: I4HGDV2E

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/I4HGDV2EQKZ7EFMMXTOFCGKI5H \
  | 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: 470e61d74482b3f2158cbcdc511948e9dd0683c044abafd61046cf5df126f6ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be9a9ef89345ff1ad0a2aece20430c9650036fca444299507305476a8b9260b",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "funct-an",
    "submitted_at": "1992-11-25T21:43:39Z",
    "title_canon_sha256": "312ac76c2ba6663eb227d22bfda5a95a278f7a7582e82d2affbdf511dd4a954c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "funct-an/9211006",
    "kind": "arxiv",
    "version": 1
  }
}