Pith Number

pith:SLPBZ5SL

pith:2013:SLPBZ5SLOQNBSFLVHWTYNP2V2T

not attested not anchored not stored refs pending

L_1-Estimates for Eigenfunctions of the Dirichlet Laplacian

Juergen Voigt, Michiel van den Berg, Rainer Hempel

arxiv:1308.4788 v3 · 2013-08-22 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLPBZ5SLOQNBSFLVHWTYNP2V2T}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:47:38.488005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92de1cf64b741a1915753da786bf55d4d4106e6b912b21a892d2ab58f38ba13d

Aliases

arxiv: 1308.4788 · arxiv_version: 1308.4788v3 · doi: 10.48550/arxiv.1308.4788 · pith_short_12: SLPBZ5SLOQNB · pith_short_16: SLPBZ5SLOQNBSFLV · pith_short_8: SLPBZ5SL

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/SLPBZ5SLOQNBSFLVHWTYNP2V2T \
  | 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: 92de1cf64b741a1915753da786bf55d4d4106e6b912b21a892d2ab58f38ba13d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e64181ac563954b3623272c8049529e1a451f6fe096d8a553d41904de7ef9c1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-08-22T08:33:01Z",
    "title_canon_sha256": "a0d97be605495bb4bf6801e55d3df42ecb0f02d7cd0bc18b149731dcf7a48991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4788",
    "kind": "arxiv",
    "version": 3
  }
}