Pith Number

pith:KDUNBLJN

pith:2026:KDUNBLJNHETVB4SESJNA2B33TF

not attested not anchored not stored refs pending

$L^{2}-L^{\infty}$ decay estimates and inviscid limits for Global smooth solutions to the compressible Navier-Stokes-Riesz system

Agnieszka \'Swierczewska-Gwiazda, Junhao Zhang, Yuan Xu

arxiv:2607.05562 v1 · 2026-07-06 · 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{KDUNBLJNHETVB4SESJNA2B33TF}

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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	2026-07-08T01:18:37.278007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50e8d0ad2d392750f244925a0d077b995edd31d9e851965378558ce6b7fbb9ab

Aliases

arxiv: 2607.05562 · arxiv_version: 2607.05562v1 · doi: 10.48550/arxiv.2607.05562 · pith_short_12: KDUNBLJNHETV · pith_short_16: KDUNBLJNHETVB4SE · pith_short_8: KDUNBLJN

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/KDUNBLJNHETVB4SESJNA2B33TF \
  | 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: 50e8d0ad2d392750f244925a0d077b995edd31d9e851965378558ce6b7fbb9ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed96c10d3d6061917b973d02b45484c85c32fa00caef05021cec481e621b75d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-06T18:59:23Z",
    "title_canon_sha256": "a90875116c7062cb1f36b03bffe00eb88c28758d6bb396424216b7802e6b0b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05562",
    "kind": "arxiv",
    "version": 1
  }
}