Pith Number

pith:WQEHSWUP

pith:2012:WQEHSWUP4ZY3IPBLT4UAFHUIML

not attested not anchored not stored refs pending

An invariance principle for random walk bridges conditioned to stay positive

Francesco Caravenna, Lo\"ic Chaumont

arxiv:1204.6148 v2 · 2012-04-27 · 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{WQEHSWUP4ZY3IPBLT4UAFHUIML}

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	2026-05-18T03:43:42.126994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b408795a8fe671b43c2b9f28029e8862d66d2c0d3135309fc98529d9fadd7a99

Aliases

arxiv: 1204.6148 · arxiv_version: 1204.6148v2 · doi: 10.48550/arxiv.1204.6148 · pith_short_12: WQEHSWUP4ZY3 · pith_short_16: WQEHSWUP4ZY3IPBL · pith_short_8: WQEHSWUP

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/WQEHSWUP4ZY3IPBLT4UAFHUIML \
  | 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: b408795a8fe671b43c2b9f28029e8862d66d2c0d3135309fc98529d9fadd7a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11eeb5e713b3f40dd0499783dd79351a182b55b8093c95cb1455c3fcd7de1b30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-27T09:00:19Z",
    "title_canon_sha256": "abdde2c22c7cf0eefcfbf27daed2b460531b1399fac05929e42db2a31ea8fdb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6148",
    "kind": "arxiv",
    "version": 2
  }
}