Pith Number

pith:ATXRLVFS

pith:2010:ATXRLVFSOJE6AFNTFDGOLQ6ZLA

not attested not anchored not stored refs pending

Eigenvalues of the fractional Laplace operator in the interval

Mateusz Kwa\'snicki

arxiv:1012.1133 v1 · 2010-12-06 · math.SP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATXRLVFSOJE6AFNTFDGOLQ6ZLA}

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	2026-05-18T04:34:01.772705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ef15d4b27249e015b328cce5c3d95814483c37d90460f31f6785c0c168eb38

Aliases

arxiv: 1012.1133 · arxiv_version: 1012.1133v1 · doi: 10.48550/arxiv.1012.1133 · pith_short_12: ATXRLVFSOJE6 · pith_short_16: ATXRLVFSOJE6AFNT · pith_short_8: ATXRLVFS

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/ATXRLVFSOJE6AFNTFDGOLQ6ZLA \
  | 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: 04ef15d4b27249e015b328cce5c3d95814483c37d90460f31f6785c0c168eb38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31ce05e0d891242b95e3969d1b6fa9b611c2c5da4f35accab1bf5e5b335a20ae",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-12-06T11:17:39Z",
    "title_canon_sha256": "237fe7e357c3acaf38a3252f34f35f108fc111f7f622f984408088cc0fac9e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1133",
    "kind": "arxiv",
    "version": 1
  }
}