Pith Number

pith:VREB2HML

pith:2013:VREB2HML5AIY5JWWAWE5W6ADCW

not attested not anchored not stored refs pending

Asymptotic expansion of polyanalytic Bergman kernels

Antti Haimi, Haakan Hedenmalm

arxiv:1303.0720 v2 · 2013-03-04 · math.CV · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VREB2HML5AIY5JWWAWE5W6ADCW}

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	2026-05-18T01:32:35.178809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac481d1d8be8118ea6d60589db78031589cc5c25eea873c72eb24b98d154e196

Aliases

arxiv: 1303.0720 · arxiv_version: 1303.0720v2 · doi: 10.48550/arxiv.1303.0720 · pith_short_12: VREB2HML5AIY · pith_short_16: VREB2HML5AIY5JWW · pith_short_8: VREB2HML

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/VREB2HML5AIY5JWWAWE5W6ADCW \
  | 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: ac481d1d8be8118ea6d60589db78031589cc5c25eea873c72eb24b98d154e196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d6d76f0a39e8575bf9aeb091fede0382f9cedf56a83e3da9bdba899d43e640",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-03-04T15:05:19Z",
    "title_canon_sha256": "845b24cd3354e8448e369a39f25cf73121c443f7e5a9b3d0a234ace1675d92a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0720",
    "kind": "arxiv",
    "version": 2
  }
}