Pith Number

pith:R2YNWTCQ

pith:2012:R2YNWTCQ62F4B63LXE3JZUNSE4

not attested not anchored not stored refs pending

Elliptic Equations in Weighted Besov Spaces on Asymptotically Flat Riemannian Manifolds

Lavi Karp, Uwe Brauer

arxiv:1209.2642 v2 · 2012-09-12 · math.AP · gr-qc · 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{R2YNWTCQ62F4B63LXE3JZUNSE4}

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	2026-05-18T02:57:00.153423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb0db4c50f68bc0fb6bb9369cd1b2270311e6e087d10a0b92024e4ac6a1e84a

Aliases

arxiv: 1209.2642 · arxiv_version: 1209.2642v2 · doi: 10.48550/arxiv.1209.2642 · pith_short_12: R2YNWTCQ62F4 · pith_short_16: R2YNWTCQ62F4B63L · pith_short_8: R2YNWTCQ

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/R2YNWTCQ62F4B63LXE3JZUNSE4 \
  | 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: 8eb0db4c50f68bc0fb6bb9369cd1b2270311e6e087d10a0b92024e4ac6a1e84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "947e6c086f100f96a801c06149dc36da9589f1e2e20ec48b27ca0799ae1b431c",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-12T15:32:23Z",
    "title_canon_sha256": "0f6779f9b42e068ad456f136451f2fe1d59dc0e561ef5dd2044738cc621aa6a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2642",
    "kind": "arxiv",
    "version": 2
  }
}