Pith Number

pith:GCX5LHPJ

pith:2019:GCX5LHPJVTI6VMQKDL26X7J6IS

not attested not anchored not stored refs pending

A Universality Law For Sign Correlations of Eigenfunctions of Differential Operators

Diogo Oliveira e Silva, Felipe Gon\c{c}alves, Stefan Steinerberger

arxiv:1903.06826 v1 · 2019-03-15 · math.CA · math-ph · math.MP · 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{GCX5LHPJVTI6VMQKDL26X7J6IS}

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	2026-05-17T23:51:08.911337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30afd59de9acd1eab20a1af5ebfd3e44a909ddd5b4d4f8f7c8c96951d2382ba7

Aliases

arxiv: 1903.06826 · arxiv_version: 1903.06826v1 · doi: 10.48550/arxiv.1903.06826 · pith_short_12: GCX5LHPJVTI6 · pith_short_16: GCX5LHPJVTI6VMQK · pith_short_8: GCX5LHPJ

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/GCX5LHPJVTI6VMQKDL26X7J6IS \
  | 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: 30afd59de9acd1eab20a1af5ebfd3e44a909ddd5b4d4f8f7c8c96951d2382ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc035ae07a5b52f007882553d3a59566c6a8e50c6a5497faf2ddbe4e03be52a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-03-15T22:33:36Z",
    "title_canon_sha256": "6e7a2b865eab25c93a351973779e22e8c987c8b6310b6cc8922a8dda5a1beffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06826",
    "kind": "arxiv",
    "version": 1
  }
}