Pith Number

pith:G4GRHELM

pith:2024:G4GRHELMN5OC76FI5JTQ6ZOUQJ

not attested not anchored not stored refs pending

Large gap probabilities of complex and symplectic spherical ensembles with point charges

Seongjae Park, Sung-Soo Byun

arxiv:2405.00386 v1 · 2024-05-01 · 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{G4GRHELMN5OC76FI5JTQ6ZOUQJ}

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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.

Cited by

1 paper in Pith

Smallest gaps of the two-dimensional Coulomb gas

Receipt and verification

First computed	2026-07-05T08:14:12.271838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370d13916c6f5c2ff8a8ea670f65d4824ece0a5ee92648825375d41d13e21901

Aliases

arxiv: 2405.00386 · arxiv_version: 2405.00386v1 · doi: 10.48550/arxiv.2405.00386 · pith_short_12: G4GRHELMN5OC · pith_short_16: G4GRHELMN5OC76FI · pith_short_8: G4GRHELM

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/G4GRHELMN5OC76FI5JTQ6ZOUQJ \
  | 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: 370d13916c6f5c2ff8a8ea670f65d4824ece0a5ee92648825375d41d13e21901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed38ae38b54c0ca2677174d2f4bcfd792d8900f407f2e0a6d27599b54219aae5",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-05-01T08:36:31Z",
    "title_canon_sha256": "681ebd5aec450cec1eff3a5a2e41c2cf38c3fd3fe52c2b20abf4e5fb5a53c504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.00386",
    "kind": "arxiv",
    "version": 1
  }
}