Pith Number

pith:NDGAM7VC

pith:2011:NDGAM7VCIK2UMELXVSC4LMZVLA

not attested not anchored not stored refs pending

Existence, stability and oscillation properties of slow decay positive solutions of supercritical elliptic equations with Hardy potential

Jean Van Schaftingen, Vitaly Moroz

arxiv:1108.4668 v1 · 2011-08-23 · 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{NDGAM7VCIK2UMELXVSC4LMZVLA}

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	2026-05-18T01:37:08.266818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68cc067ea242b5461177ac85c5b3355823d7874c5763c6782d577c16bc72da0f

Aliases

arxiv: 1108.4668 · arxiv_version: 1108.4668v1 · doi: 10.48550/arxiv.1108.4668 · pith_short_12: NDGAM7VCIK2U · pith_short_16: NDGAM7VCIK2UMELX · pith_short_8: NDGAM7VC

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/NDGAM7VCIK2UMELXVSC4LMZVLA \
  | 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: 68cc067ea242b5461177ac85c5b3355823d7874c5763c6782d577c16bc72da0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0070853ba0896c5910fadb8dcc677f3ebaf8c926a9acc91ec9f1818cf05fc6ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-23T18:27:34Z",
    "title_canon_sha256": "740eb7fc27e7be5040179412683445a5d715736b71508a54054c26aff0138b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4668",
    "kind": "arxiv",
    "version": 1
  }
}