Pith Number

pith:7MMADJ4U

pith:2014:7MMADJ4UYESIKA7C7UKK7HVTML

not attested not anchored not stored refs pending

Infinitely many positive solutions for nonlinear fractional Schr\"{o}dinger equations

Jing Yang, Shuangjie Peng, Wei Long

arxiv:1402.1902 v1 · 2014-02-09 · 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{7MMADJ4UYESIKA7C7UKK7HVTML}

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	2026-05-18T02:59:33.208145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1801a794c1248503e2fd14af9eb362ca4892b2ac625ef392cf672da74254a3

Aliases

arxiv: 1402.1902 · arxiv_version: 1402.1902v1 · doi: 10.48550/arxiv.1402.1902 · pith_short_12: 7MMADJ4UYESI · pith_short_16: 7MMADJ4UYESIKA7C · pith_short_8: 7MMADJ4U

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/7MMADJ4UYESIKA7C7UKK7HVTML \
  | 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: fb1801a794c1248503e2fd14af9eb362ca4892b2ac625ef392cf672da74254a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e58d14f59148e2aeccaba24880c6b2176bfcca2cc11578e36a8770950f6f661",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-09T01:07:17Z",
    "title_canon_sha256": "de687f268d4047f64fe6a2a9a25d19bbc0b6fa70e4c1830a9bd58bc1ab8db690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1902",
    "kind": "arxiv",
    "version": 1
  }
}