Pith Number

pith:4RF4LXSG

pith:2011:4RF4LXSGTLDW57VECLALRVJUSC

not attested not anchored not stored refs pending

The Toeplitz corona problem for algebras of multipliers on a Nevanlinna-Pick space

Mrinal Raghupathi, Ryan Hamilton

arxiv:1104.3821 v1 · 2011-04-19 · math.FA · 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{4RF4LXSGTLDW57VECLALRVJUSC}

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	2026-05-18T04:23:47.543387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e44bc5de469ac76efea412c0b8d53490a53ec92f42ce06012ab78a677d3e424b

Aliases

arxiv: 1104.3821 · arxiv_version: 1104.3821v1 · doi: 10.48550/arxiv.1104.3821 · pith_short_12: 4RF4LXSGTLDW · pith_short_16: 4RF4LXSGTLDW57VE · pith_short_8: 4RF4LXSG

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/4RF4LXSGTLDW57VECLALRVJUSC \
  | 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: e44bc5de469ac76efea412c0b8d53490a53ec92f42ce06012ab78a677d3e424b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16b7d7ebd23479ce2e68931ea0aa27857eac86cf9b9f3303af7dbd262b162108",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-19T18:03:16Z",
    "title_canon_sha256": "e9a7ffe9e228d490033eb1e726787ab961ac4c14986bc42669e2c0c2efeb7c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3821",
    "kind": "arxiv",
    "version": 1
  }
}