Pith Number

pith:WFXLCGQE

pith:2011:WFXLCGQEGZK5JM6CEAUI2FFSDN

not attested not anchored not stored refs pending

Ground state for the Schr\"odinger operater with the weighted Hardy potential

Jan Chabrowski, Kyril Tintarev

arxiv:1104.2160 v1 · 2011-04-12 · 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{WFXLCGQEGZK5JM6CEAUI2FFSDN}

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	2026-05-18T04:24:35.826088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b16eb11a043655d4b3c220288d14b21b47dd44754e6d220232f2314ffccf4a43

Aliases

arxiv: 1104.2160 · arxiv_version: 1104.2160v1 · doi: 10.48550/arxiv.1104.2160 · pith_short_12: WFXLCGQEGZK5 · pith_short_16: WFXLCGQEGZK5JM6C · pith_short_8: WFXLCGQE

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/WFXLCGQEGZK5JM6CEAUI2FFSDN \
  | 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: b16eb11a043655d4b3c220288d14b21b47dd44754e6d220232f2314ffccf4a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316d7f8b75844dceb7cffb7ca3cd7b9dfcff433671f4a26317a63522341c6048",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-12T10:36:47Z",
    "title_canon_sha256": "54eaa528768a74bcfd98c56436548701a1976222bf213ed931bc2b8e20023282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2160",
    "kind": "arxiv",
    "version": 1
  }
}