Pith Number

pith:LDXVY5A3

pith:2012:LDXVY5A3LHH3P3CIAS3E4SX25R

not attested not anchored not stored refs pending

Quasilinear elliptic equations and weighted Sobolev-Poincar\'{e} inequalities with distributional weights

Benjamin J. Jaye, Igor E. Verbitsky, Vladimir G. Maz'ya

arxiv:1204.3063 v2 · 2012-04-13 · math.AP · 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{LDXVY5A3LHH3P3CIAS3E4SX25R}

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	2026-05-18T03:41:58.717838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58ef5c741b59cfb7ec4804b64e4afaec73aa934f4066ed10b6b540faa34343b2

Aliases

arxiv: 1204.3063 · arxiv_version: 1204.3063v2 · doi: 10.48550/arxiv.1204.3063 · pith_short_12: LDXVY5A3LHH3 · pith_short_16: LDXVY5A3LHH3P3CI · pith_short_8: LDXVY5A3

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/LDXVY5A3LHH3P3CIAS3E4SX25R \
  | 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: 58ef5c741b59cfb7ec4804b64e4afaec73aa934f4066ed10b6b540faa34343b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b209c9e94bc5f2168cf2be829a8a077801f1684a0b2c88f567652a5ac3e42187",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-13T18:03:55Z",
    "title_canon_sha256": "7c2e73a16792ffbff0ea85964ec90c87cfc28d96c0d94c5cd4a1c4bb490759d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3063",
    "kind": "arxiv",
    "version": 2
  }
}