Pith Number

pith:BXRYHPFV

pith:2012:BXRYHPFVO5VPN4RBUEAXLXP4UI

not attested not anchored not stored refs pending

Toeplitz operators with quasi-radial quasi-homogeneous symbols and bundles of Lagrangian frames

Armando Sanchez-Nungaray, Raul Quiroga-Barranco

arxiv:1201.2161 v2 · 2012-01-10 · math.OA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXRYHPFVO5VPN4RBUEAXLXP4UI}

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	2026-05-18T02:54:54.511467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0de383bcb5776af6f221a10175ddfca2294a318184ee175e8d3bff76bb4875c3

Aliases

arxiv: 1201.2161 · arxiv_version: 1201.2161v2 · doi: 10.48550/arxiv.1201.2161 · pith_short_12: BXRYHPFVO5VP · pith_short_16: BXRYHPFVO5VPN4RB · pith_short_8: BXRYHPFV

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/BXRYHPFVO5VPN4RBUEAXLXP4UI \
  | 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: 0de383bcb5776af6f221a10175ddfca2294a318184ee175e8d3bff76bb4875c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14f3a7b025f38e505bd3da7988a3506e345e56c8c9a46f74204084f42658f555",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-10T20:17:42Z",
    "title_canon_sha256": "f91941903e1b0866bade7647160f3ce11c26de1ec404d2ed7ba715b7cf8e7ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2161",
    "kind": "arxiv",
    "version": 2
  }
}