Pith Number

pith:RSGRXAPR

pith:2012:RSGRXAPRXAYD4YL3X464V46A37

not attested not anchored not stored refs pending

$C^*$-algebras generated by truncated Toeplitz operators

Stephan Ramon Garcia, Warren R. Wogen, William T. Ross

arxiv:1203.2412 v3 · 2012-03-12 · math.OA · math.CV · 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{RSGRXAPRXAYD4YL3X464V46A37}

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	2026-05-18T03:52:52.960444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c8d1b81f1b8303e617bbf3dcaf3c0dfd3af021791ffbec7e04b9c3a84590bca

Aliases

arxiv: 1203.2412 · arxiv_version: 1203.2412v3 · doi: 10.48550/arxiv.1203.2412 · pith_short_12: RSGRXAPRXAYD · pith_short_16: RSGRXAPRXAYD4YL3 · pith_short_8: RSGRXAPR

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/RSGRXAPRXAYD4YL3X464V46A37 \
  | 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: 8c8d1b81f1b8303e617bbf3dcaf3c0dfd3af021791ffbec7e04b9c3a84590bca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "911f3bb02834eb3c1cfd914c0d478dc05829f73d0ff3863d7277db53f026f7a0",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-03-12T07:05:27Z",
    "title_canon_sha256": "4d655da69efd6825590e3ae113cf6d33953fc0e865d335ad62ea0b65e8ae26b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2412",
    "kind": "arxiv",
    "version": 3
  }
}