Pith Number

pith:ARBOOQRW

pith:2015:ARBOOQRWYN6OSCNZ5ZQJZNXJNM

not attested not anchored not stored refs pending

Decay and scattering of solutions to nonlinear Schr\"odinger equations with regular potentials for nonlinearities of sharp growth

Lifeng Zhao, Ze Li

arxiv:1502.02212 v2 · 2015-02-08 · 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{ARBOOQRWYN6OSCNZ5ZQJZNXJNM}

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	2026-05-18T00:49:00.292170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0442e74236c37ce909b9ee609cb6e96b0c0c13485202472fe95213bb728afb9c

Aliases

arxiv: 1502.02212 · arxiv_version: 1502.02212v2 · doi: 10.48550/arxiv.1502.02212 · pith_short_12: ARBOOQRWYN6O · pith_short_16: ARBOOQRWYN6OSCNZ · pith_short_8: ARBOOQRW

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/ARBOOQRWYN6OSCNZ5ZQJZNXJNM \
  | 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: 0442e74236c37ce909b9ee609cb6e96b0c0c13485202472fe95213bb728afb9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68bc9cb1161b3891cb7402e62bf2b266d70d26fec6f28da9774c8a8651a4f33a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-08T06:03:08Z",
    "title_canon_sha256": "b05b54fdce50f3185d92e8da0044d4c06db6eeb2d4558b70e6e0d8f0a87d3481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02212",
    "kind": "arxiv",
    "version": 2
  }
}