Pith Number

pith:5F4YEFSQ

pith:2017:5F4YEFSQMK4BQ6O7GDKQOQWREN

not attested not anchored not stored refs pending

Global existence and scattering for a class of nonlinear fourth-order Schr\"odinger equation below the energy space

Van Duong Dinh

arxiv:1706.07430 v2 · 2017-06-21 · 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{5F4YEFSQMK4BQ6O7GDKQOQWREN}

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	2026-05-18T00:22:06.026836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e97982165062b81879df30d50742d1235aec2bb88c5cfe078cc5ea6071fa3ac2

Aliases

arxiv: 1706.07430 · arxiv_version: 1706.07430v2 · doi: 10.48550/arxiv.1706.07430 · pith_short_12: 5F4YEFSQMK4B · pith_short_16: 5F4YEFSQMK4BQ6O7 · pith_short_8: 5F4YEFSQ

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/5F4YEFSQMK4BQ6O7GDKQOQWREN \
  | 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: e97982165062b81879df30d50742d1235aec2bb88c5cfe078cc5ea6071fa3ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8dc843e95a09c8422c54298eaf8e4f4a55abb4faf0ce6f87eeb0140924d02cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-21T23:50:31Z",
    "title_canon_sha256": "6a84f81641c37551088de527ec81fce0b64bf5e888f9d4d6ae14ddc6d76189a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07430",
    "kind": "arxiv",
    "version": 2
  }
}