Pith Number

pith:2HJQPYDY

pith:2017:2HJQPYDYZOEFQCGPPEH3KSNWQR

not attested not anchored not stored refs pending

Gaussian Approximation of the Distribution of Strongly Repelling Particles on the Unit Circle

Alexander Soshnikov, Yuanyuan Xu

arxiv:1710.11328 v2 · 2017-10-31 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HJQPYDYZOEFQCGPPEH3KSNWQR}

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	2026-05-18T00:14:47.092087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1d307e078cb885808cf790fb549b684573a3634cd0563c8aa883253489fd3fa

Aliases

arxiv: 1710.11328 · arxiv_version: 1710.11328v2 · doi: 10.48550/arxiv.1710.11328 · pith_short_12: 2HJQPYDYZOEF · pith_short_16: 2HJQPYDYZOEFQCGP · pith_short_8: 2HJQPYDY

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/2HJQPYDYZOEFQCGPPEH3KSNWQR \
  | 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: d1d307e078cb885808cf790fb549b684573a3634cd0563c8aa883253489fd3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e43b05e0af65ee8ff448e6ac8d860e85cbec338d0675f7c55e36923449a237",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-31T05:12:08Z",
    "title_canon_sha256": "e9e758152a465e5631ba4649bacedeefb17ce528392a2b747765e66bb85ba775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11328",
    "kind": "arxiv",
    "version": 2
  }
}