Pith Number

pith:NCG3DWUM

pith:2010:NCG3DWUMF6RT63BIAQPCBBFDTR

not attested not anchored not stored refs pending

Asymptotics of Szeg\"{o} kernels under Hamiltonian torus actions

Roberto Paoletti

arxiv:1006.4273 v2 · 2010-06-22 · math.SG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCG3DWUMF6RT63BIAQPCBBFDTR}

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	2026-05-18T04:23:13.227055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

688db1da8c2fa33f6c28041e2084a39c769756e23fdd1be206159e936f096ce6

Aliases

arxiv: 1006.4273 · arxiv_version: 1006.4273v2 · doi: 10.48550/arxiv.1006.4273 · pith_short_12: NCG3DWUMF6RT · pith_short_16: NCG3DWUMF6RT63BI · pith_short_8: NCG3DWUM

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/NCG3DWUMF6RT63BIAQPCBBFDTR \
  | 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: 688db1da8c2fa33f6c28041e2084a39c769756e23fdd1be206159e936f096ce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f311bae37a6bdd45c3c12a9c34842ef1a04b1083734b5c04d16856a9fb33c97",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-06-22T12:11:50Z",
    "title_canon_sha256": "356b79e02a2dc88258d8f94f88c4596095adf0d556d7c83be22464be769cd178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4273",
    "kind": "arxiv",
    "version": 2
  }
}