Pith Number

pith:X2VBAQZY

pith:2012:X2VBAQZYY34BEHOYLNLGYH6VL4

not attested not anchored not stored refs pending

Lower order asymptotics for Szeg\"{o} and Toeplitz kernels under Hamiltonian circle actions

Roberto Paoletti

arxiv:1209.0059 v3 · 2012-09-01 · math.SG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2VBAQZYY34BEHOYLNLGYH6VL4}

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	2026-05-18T03:04:06.825091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beaa104338c6f8121dd85b566c1fd55f1a3146390e1fbe6f3058e54314fc9fd4

Aliases

arxiv: 1209.0059 · arxiv_version: 1209.0059v3 · doi: 10.48550/arxiv.1209.0059 · pith_short_12: X2VBAQZYY34B · pith_short_16: X2VBAQZYY34BEHOY · pith_short_8: X2VBAQZY

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/X2VBAQZYY34BEHOYLNLGYH6VL4 \
  | 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: beaa104338c6f8121dd85b566c1fd55f1a3146390e1fbe6f3058e54314fc9fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca9230c14d56001a9f1bf8fe63cbef298d75c0a0b6285e45bda820cae7770d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-09-01T06:30:02Z",
    "title_canon_sha256": "e8c8b93838c8dcfd522b12352429494c8221a73a806bc4895bbb1abe60bd57cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0059",
    "kind": "arxiv",
    "version": 3
  }
}