Pith Number

pith:QP6HBQTV

pith:2011:QP6HBQTVNVTS6UCFVXNWLJAFCN

not attested not anchored not stored refs pending

Semi-classical states for the Nonlinear Schr\"odinger Equation on saddle points of the potential via variational methods

Alessio Pomponio, David Ruiz, Pietro d'Avenia

arxiv:1107.5652 v2 · 2011-07-28 · 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{QP6HBQTVNVTS6UCFVXNWLJAFCN}

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	2026-05-18T04:00:28.372907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83fc70c2756d672f5045addb65a4051379f219ef560be4c193256ac318b68b31

Aliases

arxiv: 1107.5652 · arxiv_version: 1107.5652v2 · doi: 10.48550/arxiv.1107.5652 · pith_short_12: QP6HBQTVNVTS · pith_short_16: QP6HBQTVNVTS6UCF · pith_short_8: QP6HBQTV

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/QP6HBQTVNVTS6UCFVXNWLJAFCN \
  | 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: 83fc70c2756d672f5045addb65a4051379f219ef560be4c193256ac318b68b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e3a73235e895e6499397bc52dc87b25ff170550f3b71790e6ce00c0c83692d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-28T09:03:34Z",
    "title_canon_sha256": "60bb3c6ef75f80e4076ad38c5098ea9e57ef4f52ae877889cf2d0ab06726b782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5652",
    "kind": "arxiv",
    "version": 2
  }
}