Pith Number

pith:NQL3ZEDD

pith:2017:NQL3ZEDDSN32WAHTGWNPIAFK5Q

not attested not anchored not stored refs pending

Parabolic smoothing effect and local well-posedness of fifth order semilinear dispersive equations on the torus

Kotaro Tsugawa

arxiv:1707.09550 v1 · 2017-07-29 · 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{NQL3ZEDDSN32WAHTGWNPIAFK5Q}

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.

Cited by

1 paper in Pith

Cancellation properties and unconditional well-posedness for fifth order modified KdV type equations with periodic boundary conditions

Receipt and verification

First computed	2026-05-18T00:39:10.934289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c17bc90639377ab00f3359af400aaec27ce5f51aed2e71273af262383e5b4e3

Aliases

arxiv: 1707.09550 · arxiv_version: 1707.09550v1 · doi: 10.48550/arxiv.1707.09550 · pith_short_12: NQL3ZEDDSN32 · pith_short_16: NQL3ZEDDSN32WAHT · pith_short_8: NQL3ZEDD

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/NQL3ZEDDSN32WAHTGWNPIAFK5Q \
  | 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: 6c17bc90639377ab00f3359af400aaec27ce5f51aed2e71273af262383e5b4e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9867fafc1764e84fd76b4f8672294a9aea72dd33f898ef16d2d67d3d93605d63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-29T19:27:48Z",
    "title_canon_sha256": "4db9071072451cc63fd4fae6d82b449f86b77ad0f25e3a025ac8450ed9807708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09550",
    "kind": "arxiv",
    "version": 1
  }
}