Pith Number

pith:2ERES5N4

pith:2012:2ERES5N4WKGU54A5ZXTBIXKIV5

not attested not anchored not stored refs pending

The Bergman projection in $L^p$ for domains with minimal smoothness

Elias M. Stein, Loredana Lanzani

arxiv:1201.4148 v2 · 2012-01-19 · math.CV · math.AP · math.CA · 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{2ERES5N4WKGU54A5ZXTBIXKIV5}

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	2026-05-18T03:44:02.644224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1224975bcb28d4ef01dcde6145d48af532a38ac72f2f14f2ab10a102dc119da

Aliases

arxiv: 1201.4148 · arxiv_version: 1201.4148v2 · doi: 10.48550/arxiv.1201.4148 · pith_short_12: 2ERES5N4WKGU · pith_short_16: 2ERES5N4WKGU54A5 · pith_short_8: 2ERES5N4

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/2ERES5N4WKGU54A5ZXTBIXKIV5 \
  | 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: d1224975bcb28d4ef01dcde6145d48af532a38ac72f2f14f2ab10a102dc119da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60e050c9ea0a625f398b8daa6b2b1b90ffd91071d136a149ea9e83b278836b6f",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-01-19T19:10:03Z",
    "title_canon_sha256": "1f46dce3e7bb95300d1d0fc49ee920b933aa666d40195fe0f1dc1e670593a20c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4148",
    "kind": "arxiv",
    "version": 2
  }
}