Pith Number

pith:NRBPB6K6

pith:2010:NRBPB6K6ZWI53TGNKPYRFUVPQK

not attested not anchored not stored refs pending

Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({\infty}) = 0

Anna Maria Micheletti, Marco G. Ghimenti

arxiv:1012.5611 v1 · 2010-12-27 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRBPB6K6ZWI53TGNKPYRFUVPQK}

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	2026-05-18T04:32:22.817200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c42f0f95ecd91ddcccd53f112d2af82bab25af7eefc288e589d7c3f0669aa48

Aliases

arxiv: 1012.5611 · arxiv_version: 1012.5611v1 · doi: 10.48550/arxiv.1012.5611 · pith_short_12: NRBPB6K6ZWI5 · pith_short_16: NRBPB6K6ZWI53TGN · pith_short_8: NRBPB6K6

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/NRBPB6K6ZWI53TGNKPYRFUVPQK \
  | 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: 6c42f0f95ecd91ddcccd53f112d2af82bab25af7eefc288e589d7c3f0669aa48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c6091cecf358210bd9a95b474c41f060531ab4a2a506ec66bec7d4f7a84da8d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-27T13:21:22Z",
    "title_canon_sha256": "e1136ed687f09ed29b5f5d9dda3b1e7a89ef3ea22eafe369d4730d3c6e31192c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5611",
    "kind": "arxiv",
    "version": 1
  }
}