Pith Number

pith:JTXJB3ZD

pith:2014:JTXJB3ZDUWOULCQUODGMO76GKN

not attested not anchored not stored refs pending

Existence and nonexistence of least energy solutions of the Neumann problem for a semilinear elliptic equation with critical Sobolev exponent and a critical lower-order perturbation

David G. Costa, Pedro M. Gir\~ao

arxiv:1407.6232 v1 · 2014-07-23 · 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{JTXJB3ZDUWOULCQUODGMO76GKN}

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	2026-05-18T02:46:57.079158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cee90ef23a59d458a1470ccc77fc653626dc6e907fe1bf23b569335cdc2470e

Aliases

arxiv: 1407.6232 · arxiv_version: 1407.6232v1 · doi: 10.48550/arxiv.1407.6232 · pith_short_12: JTXJB3ZDUWOU · pith_short_16: JTXJB3ZDUWOULCQU · pith_short_8: JTXJB3ZD

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/JTXJB3ZDUWOULCQUODGMO76GKN \
  | 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: 4cee90ef23a59d458a1470ccc77fc653626dc6e907fe1bf23b569335cdc2470e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be1750f5d22626fb887b746c97611dc47087283c4c8d1a83ecc4bca66f28725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-23T14:25:41Z",
    "title_canon_sha256": "294901e97c0bde9ed5736a14679eafc9ec4b5fbced1e5780ae22aa4c3405be35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6232",
    "kind": "arxiv",
    "version": 1
  }
}