Pith Number

pith:REBOJ6U3

pith:2017:REBOJ6U3T6O7DZ5XRCZK5HEKUS

not attested not anchored not stored refs pending

Schr\"odinger operators with negative potentials and Lane-Emden densities

Berardo Ruffini, Giovanni Franzina, Lorenzo Brasco

arxiv:1709.03816 v1 · 2017-09-12 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REBOJ6U3T6O7DZ5XRCZK5HEKUS}

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	2026-05-18T00:35:29.348637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8902e4fa9b9f9df1e7b788b2ae9c8aa48b71c53fada352b192379aff0199ecd5

Aliases

arxiv: 1709.03816 · arxiv_version: 1709.03816v1 · doi: 10.48550/arxiv.1709.03816 · pith_short_12: REBOJ6U3T6O7 · pith_short_16: REBOJ6U3T6O7DZ5X · pith_short_8: REBOJ6U3

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/REBOJ6U3T6O7DZ5XRCZK5HEKUS \
  | 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: 8902e4fa9b9f9df1e7b788b2ae9c8aa48b71c53fada352b192379aff0199ecd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a531f80dba1c7c0dd9ccf41c7adf26bd782a6433b68c7ea3e16b0d93c6c34e",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-12T12:58:29Z",
    "title_canon_sha256": "fd3ed77f35644f060bfcc499bb65c79b9d5ed6fe11a03296c1bd2c4601b90413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03816",
    "kind": "arxiv",
    "version": 1
  }
}