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Pith Number

pith:LXR4MHSS

pith:2016:LXR4MHSSTEJJS2WXW23SCADNQT
not attested not anchored not stored refs pending

On the persistence of H\"older regular patches of density for the inhomogeneous Navier-Stokes equations

Rapha\"el Danchin, Xin Zhang

arxiv:1612.00282 v1 · 2016-12-01 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LXR4MHSSTEJJS2WXW23SCADNQT}

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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 2026-05-18T00:56:05.563570Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5de3c61e529912996ad7b6b721006d84d1919da3f9724d6c8da1a86e44a13150

Aliases

arxiv: 1612.00282 · arxiv_version: 1612.00282v1 · doi: 10.48550/arxiv.1612.00282 · pith_short_12: LXR4MHSSTEJJ · pith_short_16: LXR4MHSSTEJJS2WX · pith_short_8: LXR4MHSS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LXR4MHSSTEJJS2WXW23SCADNQT \
  | 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: 5de3c61e529912996ad7b6b721006d84d1919da3f9724d6c8da1a86e44a13150
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1d93e36f02d09848c268d81fc38daef75fac7a2e3eab81a12eb056cf1605c933",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-01T14:53:19Z",
    "title_canon_sha256": "4394b5e221421340799045547c4afbadde9010af5e3d41ade494ea8d2cee19ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00282",
    "kind": "arxiv",
    "version": 1
  }
}