Pith Number

pith:2742QIZ5

pith:2015:2742QIZ53VTIMEXG4BUT7QSS2P

not attested not anchored not stored refs pending

Overcrowding asymptotics for the Sine_beta process

Benedek Valk\'o, Diane Holcomb

arxiv:1506.07117 v1 · 2015-06-23 · 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{2742QIZ53VTIMEXG4BUT7QSS2P}

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	2026-05-18T01:40:55.112519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f9a8233ddd668612e6e0693fc252d3ea9deb3a4fb44b7c2c2229d32813ba40

Aliases

arxiv: 1506.07117 · arxiv_version: 1506.07117v1 · doi: 10.48550/arxiv.1506.07117 · pith_short_12: 2742QIZ53VTI · pith_short_16: 2742QIZ53VTIMEXG · pith_short_8: 2742QIZ5

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/2742QIZ53VTIMEXG4BUT7QSS2P \
  | 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: d7f9a8233ddd668612e6e0693fc252d3ea9deb3a4fb44b7c2c2229d32813ba40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f970adf885bb2d01a890aee19c1394ba6f28e12ea08a99224fe318553f9fa9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-23T18:05:17Z",
    "title_canon_sha256": "8f261f903919de3784f26f6a845820be9034d0b2e3c4186e15a8b0bd799d9480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07117",
    "kind": "arxiv",
    "version": 1
  }
}