Pith Number

pith:XCIWI2DD

pith:2017:XCIWI2DDHWJIEM3UFESZYLJ22O

not attested not anchored not stored refs pending

Edge of spiked beta ensembles, stochastic Airy semigroups and reflected Brownian motions

Mykhaylo Shkolnikov, Pierre Yves Gaudreau Lamarre

arxiv:1706.08451 v1 · 2017-06-26 · 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{XCIWI2DDHWJIEM3UFESZYLJ22O}

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	2026-05-18T00:41:42.562049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8916468633d9282337429259c2d3ad39c09c0733c087d9fa3f160e64c8611f6

Aliases

arxiv: 1706.08451 · arxiv_version: 1706.08451v1 · doi: 10.48550/arxiv.1706.08451 · pith_short_12: XCIWI2DDHWJI · pith_short_16: XCIWI2DDHWJIEM3U · pith_short_8: XCIWI2DD

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/XCIWI2DDHWJIEM3UFESZYLJ22O \
  | 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: b8916468633d9282337429259c2d3ad39c09c0733c087d9fa3f160e64c8611f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e49f7e59dc9d370ef62f55075f6ad43ae988c1f292ce191b63cc95c45f9197",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-26T16:03:58Z",
    "title_canon_sha256": "13f80ac15c4c45dc547db07bc5c968be2f3cbea4e27a677f47cb8be1fb24947b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08451",
    "kind": "arxiv",
    "version": 1
  }
}