Pith Number

pith:6QDD6OMR

pith:2018:6QDD6OMROYDSD4JRBPTRAR3VPC

not attested not anchored not stored refs pending

A lower bound for the Bogomolny-Schmit constant for random monochromatic plane waves

Alejandro Rivera, Maxime Ingremeau

arxiv:1803.02228 v2 · 2018-03-06 · math-ph · math.MP · math.PR · 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{6QDD6OMROYDSD4JRBPTRAR3VPC}

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	2026-05-18T00:05:50.931406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4063f3991760721f1310be7104775789529309f874056192baa7b0c6b705dd8

Aliases

arxiv: 1803.02228 · arxiv_version: 1803.02228v2 · doi: 10.48550/arxiv.1803.02228 · pith_short_12: 6QDD6OMROYDS · pith_short_16: 6QDD6OMROYDSD4JR · pith_short_8: 6QDD6OMR

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/6QDD6OMROYDSD4JRBPTRAR3VPC \
  | 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: f4063f3991760721f1310be7104775789529309f874056192baa7b0c6b705dd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2f80e952ea758ed6ab10f363134794637e4dc7936a5b52462d11c5ba00da422",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-03-06T14:44:10Z",
    "title_canon_sha256": "1934387697957c3b1219e8f63777a7cdedd17ac6fc7b9efb345320c317b092bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02228",
    "kind": "arxiv",
    "version": 2
  }
}