Pith Number

pith:GIX4EQYH

pith:2011:GIX4EQYHVOJYPW3MXER3GPM3AN

not attested not anchored not stored refs pending

Distributional solutions of the stationary nonlinear Schr\"odinger equation: singularities, regularity and exponential decay

Rainer Mandel, Wolfgang Reichel

arxiv:1110.2314 v1 · 2011-10-11 · 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{GIX4EQYHVOJYPW3MXER3GPM3AN}

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	2026-05-18T04:11:17.048547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322fc24307ab9387db6cb923b33d9b0360c3ab241e47c1e87274f210ea1611c9

Aliases

arxiv: 1110.2314 · arxiv_version: 1110.2314v1 · doi: 10.48550/arxiv.1110.2314 · pith_short_12: GIX4EQYHVOJY · pith_short_16: GIX4EQYHVOJYPW3M · pith_short_8: GIX4EQYH

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/GIX4EQYHVOJYPW3MXER3GPM3AN \
  | 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: 322fc24307ab9387db6cb923b33d9b0360c3ab241e47c1e87274f210ea1611c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ab2b397780bbfefa206f9ef958586fd4c2e6db4ddf40250678762261a296532",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-11T09:38:39Z",
    "title_canon_sha256": "a9b9e2bc88db71c0bebde24b4a5a7526aa5903015e5b5c885643a01e26d0920c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2314",
    "kind": "arxiv",
    "version": 1
  }
}