Pith Number

pith:NCLSH47D

pith:2012:NCLSH47DU2GRPWMKMXAPXZPQ4N

not attested not anchored not stored refs pending

Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties

Mar\'ia del Mar Gonz\'alez, Mariel S\'aez, Yannick Sire

arxiv:1212.6830 v1 · 2012-12-31 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCLSH47DU2GRPWMKMXAPXZPQ4N}

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	2026-05-18T03:37:30.798850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

689723f3e3a68d17d98a65c0fbe5f0e37a5553b2a1e063fa254539fdf74ab21c

Aliases

arxiv: 1212.6830 · arxiv_version: 1212.6830v1 · doi: 10.48550/arxiv.1212.6830 · pith_short_12: NCLSH47DU2GR · pith_short_16: NCLSH47DU2GRPWMK · pith_short_8: NCLSH47D

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/NCLSH47DU2GRPWMKMXAPXZPQ4N \
  | 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: 689723f3e3a68d17d98a65c0fbe5f0e37a5553b2a1e063fa254539fdf74ab21c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f7732689c45bd24a3171b717d4c89b8498c9bca28d44be71bc14730cc35eca2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-31T07:11:54Z",
    "title_canon_sha256": "5c556ad57e930c9c3ee081f739d3e396eb7b68e9964e49e56836e73ece14f2c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6830",
    "kind": "arxiv",
    "version": 1
  }
}