pith. sign in
Pith Number

pith:HKNM5Q47

pith:2016:HKNM5Q47BI7S6KYT6EDJNVZ2PG
not attested not anchored not stored refs pending

Brownian Bridges on Random Intervals

Hans-J\"urgen Engelbert, Matteo Ludovico Bedini, Rainer Buckdahn

arxiv:1601.01811 v1 · 2016-01-08 · math.PR · q-fin.MF

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HKNM5Q47BI7S6KYT6EDJNVZ2PG}

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 2026-05-18T01:23:11.272551Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3a9acec39f0a3f2f2b13f10696d73a79ad5af18179727d10b8f9e446ea1fcaf8

Aliases

arxiv: 1601.01811 · arxiv_version: 1601.01811v1 · doi: 10.48550/arxiv.1601.01811 · pith_short_12: HKNM5Q47BI7S · pith_short_16: HKNM5Q47BI7S6KYT · pith_short_8: HKNM5Q47
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HKNM5Q47BI7S6KYT6EDJNVZ2PG \
  | 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: 3a9acec39f0a3f2f2b13f10696d73a79ad5af18179727d10b8f9e446ea1fcaf8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bc81544e3ce03554f91091c38aa50d29caebd5d6eb907db086a2a16fe7a08e3d",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-08T09:56:39Z",
    "title_canon_sha256": "b970095810685a9ef738e4e42e8983273e6cef097b16777c848555ca81acf739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01811",
    "kind": "arxiv",
    "version": 1
  }
}