Pith Number

pith:S6ZZHMIF

pith:2016:S6ZZHMIFQG724NAHOYDVWOCXGS

not attested not anchored not stored refs pending

One-dimensional Schr\"odinger operators with singular potentials: A Schwartz distributional formulation

Cristina Jorge, Joao Nuno Prata, Nuno Costa Dias

arxiv:1601.02308 v1 · 2016-01-11 · math.SP · math-ph · math.CA · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6ZZHMIFQG724NAHOYDVWOCXGS}

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	2026-05-18T00:10:48.220792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97b393b10581bfae340776075b38573494dbbb165b822b1a39891c7dd9e6fd1a

Aliases

arxiv: 1601.02308 · arxiv_version: 1601.02308v1 · doi: 10.48550/arxiv.1601.02308 · pith_short_12: S6ZZHMIFQG72 · pith_short_16: S6ZZHMIFQG724NAH · pith_short_8: S6ZZHMIF

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/S6ZZHMIFQG724NAHOYDVWOCXGS \
  | 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: 97b393b10581bfae340776075b38573494dbbb165b822b1a39891c7dd9e6fd1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "960e329404a0e6001f127d22d3f137c09f15e667c6cc70e60ed3eaea99368704",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-01-11T02:47:40Z",
    "title_canon_sha256": "27be020fdbc61b7403e8fc8d0bb5c4887f0c71f4247e70aa22013f717fc56098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02308",
    "kind": "arxiv",
    "version": 1
  }
}