Pith Number

pith:ADBZPIQJ

pith:2013:ADBZPIQJQJDVZYYQMKEWCFMEWT

not attested not anchored not stored refs pending

Infinitely many positive solutions of nonlinear Schr\"{o}dinger equations with non-symmetric potentials

Juncheng Wei, Manuel del Pino, Wei Yao

arxiv:1309.7196 v1 · 2013-09-27 · 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{ADBZPIQJQJDVZYYQMKEWCFMEWT}

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	2026-05-18T03:11:59.898803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00c397a20982475ce3106289611584b4c4afc5f3605805c16f8cd73396cb5392

Aliases

arxiv: 1309.7196 · arxiv_version: 1309.7196v1 · doi: 10.48550/arxiv.1309.7196 · pith_short_12: ADBZPIQJQJDV · pith_short_16: ADBZPIQJQJDVZYYQ · pith_short_8: ADBZPIQJ

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/ADBZPIQJQJDVZYYQMKEWCFMEWT \
  | 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: 00c397a20982475ce3106289611584b4c4afc5f3605805c16f8cd73396cb5392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90019bfa1fce2fb1128c2d00310c7558cc62a4b55cd3c8bea849c1d89cdd17ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-27T10:26:51Z",
    "title_canon_sha256": "e135251ceef7a8bdedf9f3dedec9af8bc8ab1caaa18bf79f3245f9ac229242ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7196",
    "kind": "arxiv",
    "version": 1
  }
}