pith. sign in
Pith Number

pith:YVNT6KKQ

pith:2014:YVNT6KKQCLXSFZJFXQY2QH47AW
not attested not anchored not stored refs pending

Ill-posedness results in critical spaces for some equations arising in hydrodynamics

Nader Masmoudi, Tarek M. Elgindi

arxiv:1405.2478 v4 · 2014-05-10 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YVNT6KKQCLXSFZJFXQY2QH47AW}

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 2026-05-18T00:36:44.060908Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c55b3f295012ef22e525bc31a81f9f05aa5b763a8bb57da833df917fc6281821

Aliases

arxiv: 1405.2478 · arxiv_version: 1405.2478v4 · doi: 10.48550/arxiv.1405.2478 · pith_short_12: YVNT6KKQCLXS · pith_short_16: YVNT6KKQCLXSFZJF · pith_short_8: YVNT6KKQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YVNT6KKQCLXSFZJFXQY2QH47AW \
  | 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: c55b3f295012ef22e525bc31a81f9f05aa5b763a8bb57da833df917fc6281821
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d9abdc7576dadd9084b97f8c64705c5a389ef11835a90ee48c45d1905895779c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-10T22:52:25Z",
    "title_canon_sha256": "62de616fd983102b084b2b8f1b3c13429d3b8a4c060c6662fa913f1168009426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2478",
    "kind": "arxiv",
    "version": 4
  }
}