Pith Number

pith:2PDGBPL6

pith:2019:2PDGBPL6N55JGVURJBJET3NUUI

not attested not anchored not stored refs pending

Attractive Kronig-Penney Band Structures and Wave Functions

David C. Johnston

arxiv:1905.12084 v2 · 2019-05-28 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PDGBPL6N55JGVURJBJET3NUUI}

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.

Cited by

1 paper in Pith

Analytical Solution to the Kronig-Penney Model with Harmonic Oscillator Wells: Insights to Tight-Binding

Receipt and verification

First computed	2026-07-05T00:25:10.606949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c660bd7e6f7a935691485249edb4a2003d14dc3121a42e9452a42a7509d9c8

Aliases

arxiv: 1905.12084 · arxiv_version: 1905.12084v2 · doi: 10.48550/arxiv.1905.12084 · pith_short_12: 2PDGBPL6N55J · pith_short_16: 2PDGBPL6N55JGVUR · pith_short_8: 2PDGBPL6

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/2PDGBPL6N55JGVURJBJET3NUUI \
  | 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: d3c660bd7e6f7a935691485249edb4a2003d14dc3121a42e9452a42a7509d9c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56cacc58a4b52408fb9e5015c5904f3ffee2631ce33a006ea825c64adf68c893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2019-05-28T21:01:16Z",
    "title_canon_sha256": "1b2796940c3e5973785bf16afe7c4552db3c96b7832fd53185191da4a7951dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12084",
    "kind": "arxiv",
    "version": 2
  }
}