Pith Number

pith:NMNHR733

pith:2017:NMNHR7336I6CQUNRQMDQZ2DYQS

not attested not anchored not stored refs pending

Nonlinear Schr\"odinger equations with exceptional potentials

Ivan Naumkin

arxiv:1707.00503 v2 · 2017-07-03 · 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{NMNHR7336I6CQUNRQMDQZ2DYQS}

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	2026-05-18T00:40:39.703225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b1a78ff7bf23c2851b183070ce87884885692d1cd7d6802551b93a1dd673ef6

Aliases

arxiv: 1707.00503 · arxiv_version: 1707.00503v2 · doi: 10.48550/arxiv.1707.00503 · pith_short_12: NMNHR7336I6C · pith_short_16: NMNHR7336I6CQUNR · pith_short_8: NMNHR733

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/NMNHR7336I6CQUNRQMDQZ2DYQS \
  | 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: 6b1a78ff7bf23c2851b183070ce87884885692d1cd7d6802551b93a1dd673ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3380272cb76aeb1b66f16ff982c2bd4eb195f08dd9a5bbd791433d658ea760cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-03T12:17:35Z",
    "title_canon_sha256": "f9393923ee4881972c04b3ae74a07f95686b1f72cb6a6f78e2d314b9b88e8eb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00503",
    "kind": "arxiv",
    "version": 2
  }
}