Pith Number

pith:3K4ZRUDN

pith:2011:3K4ZRUDN3CVADGT5BZEYUEJNO6

not attested not anchored not stored refs pending

Existence and regularity of positive solutions to elliptic equations of Schr\"{o}dinger type

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

arxiv:1103.0698 v2 · 2011-03-03 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3K4ZRUDN3CVADGT5BZEYUEJNO6}

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	2026-05-18T04:00:26.912240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab998d06dd8aa019a7d0e498a112d779a747d9a0a25c44def7bffd434327d8e

Aliases

arxiv: 1103.0698 · arxiv_version: 1103.0698v2 · doi: 10.48550/arxiv.1103.0698 · pith_short_12: 3K4ZRUDN3CVA · pith_short_16: 3K4ZRUDN3CVADGT5 · pith_short_8: 3K4ZRUDN

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/3K4ZRUDN3CVADGT5BZEYUEJNO6 \
  | 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: dab998d06dd8aa019a7d0e498a112d779a747d9a0a25c44def7bffd434327d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da18af106c153c15d57b584fc1c96bb130f321bafbeb44cbdc4cd6f60be6e621",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-03T14:31:48Z",
    "title_canon_sha256": "cc1dba4ee77a18efd103e4b85166eb3fe65c52938a05e8474888e8d227e91978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0698",
    "kind": "arxiv",
    "version": 2
  }
}