Pith Number

pith:L2O2VGH4

pith:2011:L2O2VGH4A4VKSL3JB53454FRQI

not attested not anchored not stored refs pending

Bifurcation and stability for Nonlinear Schroedinger equations with double well potential in the semiclassical limit

Andrea Sacchetti, Reika Fukuizumi

arxiv:1104.1511 v1 · 2011-04-08 · 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{L2O2VGH4A4VKSL3JB53454FRQI}

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	2026-05-18T02:02:36.409949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e9daa98fc072aa92f690f77cef0b1821ac4d21d0b8b8f9f7ca429959d3c82b0

Aliases

arxiv: 1104.1511 · arxiv_version: 1104.1511v1 · doi: 10.48550/arxiv.1104.1511 · pith_short_12: L2O2VGH4A4VK · pith_short_16: L2O2VGH4A4VKSL3J · pith_short_8: L2O2VGH4

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/L2O2VGH4A4VKSL3JB53454FRQI \
  | 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: 5e9daa98fc072aa92f690f77cef0b1821ac4d21d0b8b8f9f7ca429959d3c82b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "679fbe5ca394ffa63e260cf2b6ef147a7b6547836eae1f5a808a672f066149db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-08T08:01:21Z",
    "title_canon_sha256": "092fedb448b87438d2a4ca5b275ef6ae043f3fcec141c07100003616d55cc47d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1511",
    "kind": "arxiv",
    "version": 1
  }
}