Pith. sign in
Pith Number

pith:SG7RO2FX

pith:2022:SG7RO2FX73V24STS43D5BW36BF
not attested not anchored not stored refs pending

Standing waves for two-component elliptic system with critical growth in $\mathbb{R}^{4}$: the attractive case

Lun Guo, Qi Li, Riccardo Molle, Xiao Luo

arxiv:2211.03425 v1 · 2022-11-07 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SG7RO2FX73V24STS43D5BW36BF}

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 2026-07-05T05:13:48.436999Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

91bf1768b7feebae4a72e6c7d0db7e09792fd94079b300fdcff0362932c6e972

Aliases

arxiv: 2211.03425 · arxiv_version: 2211.03425v1 · doi: 10.48550/arxiv.2211.03425 · pith_short_12: SG7RO2FX73V2 · pith_short_16: SG7RO2FX73V24STS · pith_short_8: SG7RO2FX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SG7RO2FX73V24STS43D5BW36BF \
  | 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: 91bf1768b7feebae4a72e6c7d0db7e09792fd94079b300fdcff0362932c6e972
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7b00bcc55818aff433a5200d293f0b22835e6943086bd2387f93788510fc2d2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-11-07T10:28:23Z",
    "title_canon_sha256": "212833c86efbd9786ee0ad459ddbd0ae5efe2bf0d8c7386b5a73520d6159c7fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.03425",
    "kind": "arxiv",
    "version": 1
  }
}