Pith Number

pith:MET2RAEE

pith:2017:MET2RAEEC4WPAFLFUQQUTVWR3E

not attested not anchored not stored refs pending

A sharp lower bound for the lifespan of small solutions to the Schr\"odinger equation with a subcritical power nonlinearity

Hideaki Sunagawa, Shunsuke Yasuda, Yuji Sagawa

arxiv:1703.03125 v1 · 2017-03-09 · 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{MET2RAEEC4WPAFLFUQQUTVWR3E}

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	2026-05-18T00:49:01.455166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6127a88084172cf01565a42149d6d1d90f5e2ca488f21a6962e616ce4435ed8f

Aliases

arxiv: 1703.03125 · arxiv_version: 1703.03125v1 · doi: 10.48550/arxiv.1703.03125 · pith_short_12: MET2RAEEC4WP · pith_short_16: MET2RAEEC4WPAFLF · pith_short_8: MET2RAEE

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/MET2RAEEC4WPAFLFUQQUTVWR3E \
  | 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: 6127a88084172cf01565a42149d6d1d90f5e2ca488f21a6962e616ce4435ed8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "950d73b560dd758910993812e07d2250a57d74e64b59ac1d97c0ed5b9c7cd6eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-09T04:04:07Z",
    "title_canon_sha256": "13ad91c99f6fb48c63aeae04f700bf0ebc19e76f6a1eacebe9782cec5894b3a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03125",
    "kind": "arxiv",
    "version": 1
  }
}