Pith Number

pith:ZGA42TVD

pith:1997:ZGA42TVD3RP3OGZ7CDCDTO3YYR

not attested not anchored not stored refs pending

Spectral Properties of the Two-Dimensional Laplacian with a Finite Number of Point Interactions

H. Mizoguchi, Taksu Cheon, T. Mishima, T. Shigehara

arxiv:quant-ph/9710005 v1 · 1997-10-01 · quant-ph · chao-dyn · cond-mat · nlin.CD · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGA42TVD3RP3OGZ7CDCDTO3YYR}

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	2026-07-04T14:47:08.065128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c981cd4ea3dc5fb71b3f10c439bb78c4557487eadf303f679ec6a7fb8b315408

Aliases

arxiv: quant-ph/9710005 · arxiv_version: quant-ph/9710005v1 · doi: 10.48550/arxiv.quant-ph/9710005 · pith_short_12: ZGA42TVD3RP3 · pith_short_16: ZGA42TVD3RP3OGZ7 · pith_short_8: ZGA42TVD

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/ZGA42TVD3RP3OGZ7CDCDTO3YYR \
  | 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: c981cd4ea3dc5fb71b3f10c439bb78c4557487eadf303f679ec6a7fb8b315408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44a5bb2d7e4bbbd54d6a9f87e5addab3ffd9a161120cd4d7b1a75453e40ad4bd",
    "cross_cats_sorted": [
      "chao-dyn",
      "cond-mat",
      "nlin.CD",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-10-01T09:42:59Z",
    "title_canon_sha256": "a8f2ea3fa0acc7c3e8dc9ccc308aeb099a4b953ab81bbe140fd16796c1a2e6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9710005",
    "kind": "arxiv",
    "version": 1
  }
}