Pith Number

pith:BU63NJG3

pith:2014:BU63NJG3WFH72R7BBXN2ZDVZAP

not attested not anchored not stored refs pending

Sign changing solutions for elliptic equations with critical growth in cylinder type domains

Miguel Ramos, Pedro M. Gir\~ao

arxiv:1407.5950 v1 · 2014-07-22 · 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{BU63NJG3WFH72R7BBXN2ZDVZAP}

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	2026-05-18T02:47:06.318741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d3db6a4dbb14ffd47e10ddbac8eb903f7f0ec6e8a52b2d037da3ebba6207a18

Aliases

arxiv: 1407.5950 · arxiv_version: 1407.5950v1 · doi: 10.48550/arxiv.1407.5950 · pith_short_12: BU63NJG3WFH7 · pith_short_16: BU63NJG3WFH72R7B · pith_short_8: BU63NJG3

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/BU63NJG3WFH72R7BBXN2ZDVZAP \
  | 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: 0d3db6a4dbb14ffd47e10ddbac8eb903f7f0ec6e8a52b2d037da3ebba6207a18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c16531175c7e44ae5a3ad5d74c0a30b21446bd4100173b2e9d9881ff28d31b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-22T17:26:04Z",
    "title_canon_sha256": "f08b45987db5e4701ea1706bdc5dfc043b6611579ca79b2ad874d695ebe076a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5950",
    "kind": "arxiv",
    "version": 1
  }
}