Pith Number

pith:6MFCFPMI

pith:2018:6MFCFPMIKVR6UFNKD4O5LCCQJI

not attested not anchored not stored refs pending

Point-like Rashba interactions as singular self-adjoint extensions of the Schr\"{o}dinger operator in one dimension

Dmitry Panchenko, Vladimir Kulinskii

arxiv:1812.06503 v1 · 2018-12-16 · math-ph · 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{6MFCFPMIKVR6UFNKD4O5LCCQJI}

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	2026-05-17T23:58:10.062677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f30a22bd885563ea15aa1f1dd588504a286c479dec29323b5ca33e04de96c312

Aliases

arxiv: 1812.06503 · arxiv_version: 1812.06503v1 · doi: 10.48550/arxiv.1812.06503 · pith_short_12: 6MFCFPMIKVR6 · pith_short_16: 6MFCFPMIKVR6UFNK · pith_short_8: 6MFCFPMI

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/6MFCFPMIKVR6UFNKD4O5LCCQJI \
  | 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: f30a22bd885563ea15aa1f1dd588504a286c479dec29323b5ca33e04de96c312

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae3fab67ef1538033ff98f42ad1b35e9f3a11cbeebb788dcebb60a15b3b49da",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-16T17:12:31Z",
    "title_canon_sha256": "0b5e31c3145cf9d321a73d3fd461b4a530368314bba88f35b917e9758345f42f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06503",
    "kind": "arxiv",
    "version": 1
  }
}