Pith Number

pith:47A6EYZK

pith:2026:47A6EYZKWAKTK6CLRQIXVP4LUS

not attested not anchored not stored refs pending

Ground states for strongly indefinite Schr\"{o}dinger equations with competing nonlinearities

Bartosz Bieganowski

arxiv:2606.25090 v1 · 2026-06-23 · 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{47A6EYZKWAKTK6CLRQIXVP4LUS}

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	2026-06-25T00:18:17.544364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7c1e2632ab01535784b8c117abf8ba4af1a33c688bcd65d56c56f53a0253fce

Aliases

arxiv: 2606.25090 · arxiv_version: 2606.25090v1 · doi: 10.48550/arxiv.2606.25090 · pith_short_12: 47A6EYZKWAKT · pith_short_16: 47A6EYZKWAKTK6CL · pith_short_8: 47A6EYZK

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/47A6EYZKWAKTK6CLRQIXVP4LUS \
  | 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: e7c1e2632ab01535784b8c117abf8ba4af1a33c688bcd65d56c56f53a0253fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37d4120a34ed3aa2cda618af06cdec4c7c3a342ee735820cde8dd41ac7b1b632",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-23T18:53:51Z",
    "title_canon_sha256": "e6395639fb9cbac1ffc73a1cfb99ed7f3dab215cdb492409d31bdae9853ca688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25090",
    "kind": "arxiv",
    "version": 1
  }
}