Pith Number

pith:E3KIK6X2

pith:2009:E3KIK6X265RCBWPMT7KCXZZG3I

not attested not anchored not stored refs pending

Spectral Characteristics and Stable Ranks for the Sarason Algebra $H^\infty+C$

Brett D. Wick, Raymond Mortini

arxiv:0906.1913 v1 · 2009-06-10 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3KIK6X265RCBWPMT7KCXZZG3I}

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	2026-05-18T04:34:10.197792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26d4857afaf76220d9ec9fd42be726da112178a73783daa9dd6f79ef34280f16

Aliases

arxiv: 0906.1913 · arxiv_version: 0906.1913v1 · doi: 10.48550/arxiv.0906.1913 · pith_short_12: E3KIK6X265RC · pith_short_16: E3KIK6X265RCBWPM · pith_short_8: E3KIK6X2

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/E3KIK6X265RCBWPMT7KCXZZG3I \
  | 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: 26d4857afaf76220d9ec9fd42be726da112178a73783daa9dd6f79ef34280f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2fec490eea97d58067100899a88b7bd5e33726c95c08fb322bd75d898ef49c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-06-10T11:31:41Z",
    "title_canon_sha256": "4a6717b80c97430bf6d0590e49d1b53b320b1914ae2a40244a1c4b8e064b86ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1913",
    "kind": "arxiv",
    "version": 1
  }
}