Pith Number

pith:JGVSVJE7

pith:2018:JGVSVJE72RLE6LW6T4DMBQWIZ6

not attested not anchored not stored refs pending

Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer

Pavel Exner, Vladimir Lotoreichik

arxiv:1805.12448 v1 · 2018-05-31 · math.SP · math-ph · math.AP · 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{JGVSVJE72RLE6LW6T4DMBQWIZ6}

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	2026-05-18T00:14:30.162782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ab2aa49fd4564f2ede9f06c0c2c8cf93761dca1f4fb1c24662c7adbd55df46

Aliases

arxiv: 1805.12448 · arxiv_version: 1805.12448v1 · doi: 10.48550/arxiv.1805.12448 · pith_short_12: JGVSVJE72RLE · pith_short_16: JGVSVJE72RLE6LW6 · pith_short_8: JGVSVJE7

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/JGVSVJE72RLE6LW6T4DMBQWIZ6 \
  | 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: 49ab2aa49fd4564f2ede9f06c0c2c8cf93761dca1f4fb1c24662c7adbd55df46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7262691cbb5d54cc98ea8d8407d898543a6e9a4c38e41fa5df31bf1d3ec9510e",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-05-31T13:03:55Z",
    "title_canon_sha256": "358fef47815636db2481e5dbfe509ee1da19464b8ba270ce6df791a8d4a7fe5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12448",
    "kind": "arxiv",
    "version": 1
  }
}