Pith Number

pith:F2TPX7XE

pith:2012:F2TPX7XENYKLRLVFGOSVRJIL66

not attested not anchored not stored refs pending

Semi-classical analysis of the Laplace operator with Robin boundary conditions

Leander Geisinger, Rupert L. Frank

arxiv:1208.2327 v1 · 2012-08-11 · 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{F2TPX7XENYKLRLVFGOSVRJIL66}

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	2026-05-18T03:48:58.183002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea6fbfee46e14b8aea533a558a50bf78cdfad700bffae1337c1f5b7edae4b66

Aliases

arxiv: 1208.2327 · arxiv_version: 1208.2327v1 · doi: 10.48550/arxiv.1208.2327 · pith_short_12: F2TPX7XENYKL · pith_short_16: F2TPX7XENYKLRLVF · pith_short_8: F2TPX7XE

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/F2TPX7XENYKLRLVFGOSVRJIL66 \
  | 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: 2ea6fbfee46e14b8aea533a558a50bf78cdfad700bffae1337c1f5b7edae4b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d3ee40db9da5f0bfffe0c2409eadc8aaac2288b600d2cf1d0eb1fb2022cf13f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-08-11T09:00:26Z",
    "title_canon_sha256": "fc0ebeedee33665901b01b0c7e144def069522c74cb5685e0c8112d904570303"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2327",
    "kind": "arxiv",
    "version": 1
  }
}