Pith Number

pith:GM3LG5RZ

pith:2013:GM3LG5RZFXOUDOSSLJPOXHT7YL

not attested not anchored not stored refs pending

The Spectrum of Non-Local Discrete Schroedinger Operators with a delta-Potential

Fumio Hiroshima, J\'ozsef L\H{o}rinczi

arxiv:1309.4706 v2 · 2013-09-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GM3LG5RZFXOUDOSSLJPOXHT7YL}

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	2026-05-18T03:12:57.353246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3336b376392ddd41ba525a5eeb9e7fc2f9c4ab6c3f8037f28d833ec37b1f1137

Aliases

arxiv: 1309.4706 · arxiv_version: 1309.4706v2 · doi: 10.48550/arxiv.1309.4706 · pith_short_12: GM3LG5RZFXOU · pith_short_16: GM3LG5RZFXOUDOSS · pith_short_8: GM3LG5RZ

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/GM3LG5RZFXOUDOSSLJPOXHT7YL \
  | 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: 3336b376392ddd41ba525a5eeb9e7fc2f9c4ab6c3f8037f28d833ec37b1f1137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4180031a9b0ca913f7f4ca266619e66d8401c8a1d5363bea66eec382102faf",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-18T16:59:45Z",
    "title_canon_sha256": "72a4098dc5ba397f2fcfd5f7747c119ac26d1488ff21f019bb3d4fbf5e7a556b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4706",
    "kind": "arxiv",
    "version": 2
  }
}