Pith Number

pith:TXFWF2GT

pith:2012:TXFWF2GT7OIXZ5EQ6HH7UPAJ3O

not attested not anchored not stored refs pending

On semilinear elliptic equations with borderline Hardy potentials

Alberto Ferrero, Veronica Felli

arxiv:1209.4852 v1 · 2012-09-21 · 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{TXFWF2GT7OIXZ5EQ6HH7UPAJ3O}

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	2026-05-18T03:45:01.624052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dcb62e8d3fb917cf490f1cffa3c09db86c063342f12b97a02eaa189ccb5f054

Aliases

arxiv: 1209.4852 · arxiv_version: 1209.4852v1 · doi: 10.48550/arxiv.1209.4852 · pith_short_12: TXFWF2GT7OIX · pith_short_16: TXFWF2GT7OIXZ5EQ · pith_short_8: TXFWF2GT

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/TXFWF2GT7OIXZ5EQ6HH7UPAJ3O \
  | 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: 9dcb62e8d3fb917cf490f1cffa3c09db86c063342f12b97a02eaa189ccb5f054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6e55d22aff4844edf439ed69c19691294bf883457b22806feadcdd7799cb53c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-21T15:59:29Z",
    "title_canon_sha256": "b405291d9fecdd9f3eb9c7af24bf8d60f69756c21ac5e26ae74aa7d0862ab577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4852",
    "kind": "arxiv",
    "version": 1
  }
}