Pith Number

pith:KQ3BPXBW

pith:2018:KQ3BPXBWLYO4OGUSRVL3AKUOYW

not attested not anchored not stored refs pending

On the spectral problem associated with the time-periodic nonlinear Schr\"odinger equation

Jonatan Lenells, Ronald Quirchmayr

arxiv:1807.07366 v2 · 2018-07-19 · 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{KQ3BPXBWLYO4OGUSRVL3AKUOYW}

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	2026-05-17T23:43:28.300751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

543617dc365e1dc71a928d57b02a8ec5992c214c1d31dc52122497bc8bea5fe7

Aliases

arxiv: 1807.07366 · arxiv_version: 1807.07366v2 · doi: 10.48550/arxiv.1807.07366 · pith_short_12: KQ3BPXBWLYO4 · pith_short_16: KQ3BPXBWLYO4OGUS · pith_short_8: KQ3BPXBW

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/KQ3BPXBWLYO4OGUSRVL3AKUOYW \
  | 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: 543617dc365e1dc71a928d57b02a8ec5992c214c1d31dc52122497bc8bea5fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66b5747f209c9522b67e63870ef5a75e2e16b211f0c37df23b1374f526e1bbbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-19T12:47:13Z",
    "title_canon_sha256": "aafe4dcca6631a2d32e39d77aa67a0dbcb83a41a16ec3744e4d48d189acb019c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07366",
    "kind": "arxiv",
    "version": 2
  }
}