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Pith Number

pith:NZGFXBPF

pith:2014:NZGFXBPFYAAB772OFGAZUDZKZN
not attested not anchored not stored refs pending

Solutions without any symmetry for semilinear elliptic problems

Frank Pacard, Juncheng Wei, Monica Musso, Weiwei Ao

arxiv:1401.0271 v1 · 2014-01-01 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NZGFXBPFYAAB772OFGAZUDZKZN}

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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 2026-05-18T03:03:23.607072Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6e4c5b85e5c0001fff4e29819a0f2acb69e959081e974eabd0aa3e6b4a2425cf

Aliases

arxiv: 1401.0271 · arxiv_version: 1401.0271v1 · doi: 10.48550/arxiv.1401.0271 · pith_short_12: NZGFXBPFYAAB · pith_short_16: NZGFXBPFYAAB772O · pith_short_8: NZGFXBPF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NZGFXBPFYAAB772OFGAZUDZKZN \
  | 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: 6e4c5b85e5c0001fff4e29819a0f2acb69e959081e974eabd0aa3e6b4a2425cf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b023634a5a3708baa0d3459afde4c7d8475632d1d7006ff9f8394deaad36ecf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-01T10:46:00Z",
    "title_canon_sha256": "22fc33352ec827685ed9b6338af7a95db1a5eb183dc7cdf4ee94c1aff5db1004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0271",
    "kind": "arxiv",
    "version": 1
  }
}