Pith Number

pith:PC5W6LON

pith:2011:PC5W6LONVZN5MFWVJO7QVQXESM

not attested not anchored not stored refs pending

Non-colliding Brownian bridges and the asymmetric tacnode process

Balint Veto (University of Bonn), Patrik L. Ferrari

arxiv:1112.5002 v2 · 2011-12-21 · 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{PC5W6LONVZN5MFWVJO7QVQXESM}

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	2026-05-18T03:42:13.300791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78bb6f2dcdae5bd616d54bbf0ac2e4931706ef4a09bb7cbb39fb533e28b47cb9

Aliases

arxiv: 1112.5002 · arxiv_version: 1112.5002v2 · doi: 10.48550/arxiv.1112.5002 · pith_short_12: PC5W6LONVZN5 · pith_short_16: PC5W6LONVZN5MFWV · pith_short_8: PC5W6LON

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/PC5W6LONVZN5MFWVJO7QVQXESM \
  | 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: 78bb6f2dcdae5bd616d54bbf0ac2e4931706ef4a09bb7cbb39fb533e28b47cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5508569e9dcd95024df57e5d4a743266e0da3e9145fda1ff5712d1786f2c30b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-21T12:08:08Z",
    "title_canon_sha256": "c359031446893b48e78c8ba3cb02288a4e0611f64e75b403410ce304c399d85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5002",
    "kind": "arxiv",
    "version": 2
  }
}