Pith Number

pith:7J63BA42

pith:2016:7J63BA42CRZDAY3HICNIE5OCSI

not attested not anchored not stored refs pending

Nonlinear Schr\"odinger equations with sum of periodic and vanishing potentials and sign-changing nonlinearities

Bartosz Bieganowski, Jaros{\l}aw Mederski

arxiv:1602.05078 v3 · 2016-02-16 · 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{7J63BA42CRZDAY3HICNIE5OCSI}

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	2026-05-18T00:07:23.980850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa7db0839a1472306367409a8275c292196a7c10b3ae8d6f7fa81d889c5aaeb2

Aliases

arxiv: 1602.05078 · arxiv_version: 1602.05078v3 · doi: 10.48550/arxiv.1602.05078 · pith_short_12: 7J63BA42CRZD · pith_short_16: 7J63BA42CRZDAY3H · pith_short_8: 7J63BA42

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/7J63BA42CRZDAY3HICNIE5OCSI \
  | 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: fa7db0839a1472306367409a8275c292196a7c10b3ae8d6f7fa81d889c5aaeb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d0931e6a1119555afc33a7325b5975432cfcdc55ff5cfdb7e5572731653fe75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-16T16:20:17Z",
    "title_canon_sha256": "3c37725606281f633274c021487c938c7556965aa50ca38f80e9e5e742aa75c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05078",
    "kind": "arxiv",
    "version": 3
  }
}