Pith Number

pith:Z76QGIWR

pith:2014:Z76QGIWRVU25ULNKZZ3WK6WW5R

not attested not anchored not stored refs pending

Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition

R. Tiedra de Aldecoa, S. Richard

arxiv:1412.0990 v1 · 2014-12-02 · math-ph · math.FA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z76QGIWRVU25ULNKZZ3WK6WW5R}

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	2026-05-18T02:32:15.170231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cffd0322d1ad35da2daace77657ad6ec6d80bd5048ae5bed9231d14439b84034

Aliases

arxiv: 1412.0990 · arxiv_version: 1412.0990v1 · doi: 10.48550/arxiv.1412.0990 · pith_short_12: Z76QGIWRVU25 · pith_short_16: Z76QGIWRVU25ULNK · pith_short_8: Z76QGIWR

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/Z76QGIWRVU25ULNKZZ3WK6WW5R \
  | 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: cffd0322d1ad35da2daace77657ad6ec6d80bd5048ae5bed9231d14439b84034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49585f2efecc10056062fd049dd56f615a830af7259e871745a0cd55f9dd17e1",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-02T17:28:41Z",
    "title_canon_sha256": "927bf14d71020ed5cc5ecbc2bc7da5f5dedaf8335222bfa2e797115a6561aa15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0990",
    "kind": "arxiv",
    "version": 1
  }
}