Pith Number

pith:LTQM3UUG

pith:2012:LTQM3UUGXBKXDJGBYPQU5U6GCW

not attested not anchored not stored refs pending

From Boundary Crossing of Non-Random Functions to Boundary Crossing of Stochastic Processes

Mark Brown, Tony Sit, Victor de la Pena

arxiv:1212.0733 v2 · 2012-12-04 · stat.ME · 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{LTQM3UUGXBKXDJGBYPQU5U6GCW}

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	2026-05-18T01:46:39.195021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ce0cdd286b85571a4c1c3e14ed3c615baa92f97fb30fbfdabe9d33dd9f874d0

Aliases

arxiv: 1212.0733 · arxiv_version: 1212.0733v2 · doi: 10.48550/arxiv.1212.0733 · pith_short_12: LTQM3UUGXBKX · pith_short_16: LTQM3UUGXBKXDJGB · pith_short_8: LTQM3UUG

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/LTQM3UUGXBKXDJGBYPQU5U6GCW \
  | 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: 5ce0cdd286b85571a4c1c3e14ed3c615baa92f97fb30fbfdabe9d33dd9f874d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a94bd5680e5bee041f84fd7aae531799b6c35a026e9ca56934a46bfccc78d70",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2012-12-04T14:22:22Z",
    "title_canon_sha256": "a8e8021e71d3999bf61c06183c17227f084fc0170e5c064e9db74aeb89c99d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0733",
    "kind": "arxiv",
    "version": 2
  }
}