Pith Number

pith:LS7JAUGK

pith:2019:LS7JAUGKLAUUOQYSZHVDJFNEYU

not attested not anchored not stored refs pending

On the correlation between nodal and boundary lengths for random spherical harmonics

Domenico Marinucci, Maurizia Rossi

arxiv:1902.05750 v1 · 2019-02-15 · math-ph · math.MP · 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{LS7JAUGKLAUUOQYSZHVDJFNEYU}

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	2026-05-17T23:53:56.251498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cbe9050ca5829474312c9ea3495a4c52bb01db6cb79f55592e899b4281f1259

Aliases

arxiv: 1902.05750 · arxiv_version: 1902.05750v1 · doi: 10.48550/arxiv.1902.05750 · pith_short_12: LS7JAUGKLAUU · pith_short_16: LS7JAUGKLAUUOQYS · pith_short_8: LS7JAUGK

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/LS7JAUGKLAUUOQYSZHVDJFNEYU \
  | 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: 5cbe9050ca5829474312c9ea3495a4c52bb01db6cb79f55592e899b4281f1259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcdb987ffbbda50e3a7f5230d5bc06a07aef1169dec1824c30437f536ffa7fda",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-02-15T10:17:35Z",
    "title_canon_sha256": "839922e667c78694474b6fa98c3bd2e0ce98a25d082f6b7f02aeb5cbc33f4bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05750",
    "kind": "arxiv",
    "version": 1
  }
}