Pith Number

pith:37SRVSNT

pith:2018:37SRVSNTN46W3CFQ64Y23DRY74

not attested not anchored not stored refs pending

The fractional Schr\"odinger equation with Hardy-type potentials and sign-changing nonlinearities

Bartosz Bieganowski

arxiv:1802.00235 v2 · 2018-02-01 · 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{37SRVSNTN46W3CFQ64Y23DRY74}

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	2026-05-18T00:07:23.647513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfe51ac9b36f3d6d88b0f731ad8e38ff267a9afa674c5c0700516800b23188e8

Aliases

arxiv: 1802.00235 · arxiv_version: 1802.00235v2 · doi: 10.48550/arxiv.1802.00235 · pith_short_12: 37SRVSNTN46W · pith_short_16: 37SRVSNTN46W3CFQ · pith_short_8: 37SRVSNT

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/37SRVSNTN46W3CFQ64Y23DRY74 \
  | 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: dfe51ac9b36f3d6d88b0f731ad8e38ff267a9afa674c5c0700516800b23188e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93c0277ad7e552073313d8b7069e86378b43bba7dbc0a2e360fd64a0aadff799",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-01T10:46:21Z",
    "title_canon_sha256": "834e5f9c7986559c5bd758265976997acceffff98da463a77ea82b6e57930def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00235",
    "kind": "arxiv",
    "version": 2
  }
}