Pith Number

pith:OTIYLSW4

pith:2014:OTIYLSW4LWQLXXKDEUK4A2GBA2

not attested not anchored not stored refs pending

Beta-gamma algebra identities and Lie-theoretic exponential functionals of Brownian motion

Reda Chhaibi

arxiv:1404.7029 v3 · 2014-04-28 · math.PR · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTIYLSW4LWQLXXKDEUK4A2GBA2}

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	2026-05-18T01:16:10.090703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74d185cadc5da0bbdd432515c068c106b13cbb9ada369f47f0dacbb48bf45561

Aliases

arxiv: 1404.7029 · arxiv_version: 1404.7029v3 · doi: 10.48550/arxiv.1404.7029 · pith_short_12: OTIYLSW4LWQL · pith_short_16: OTIYLSW4LWQLXXKD · pith_short_8: OTIYLSW4

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/OTIYLSW4LWQLXXKDEUK4A2GBA2 \
  | 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: 74d185cadc5da0bbdd432515c068c106b13cbb9ada369f47f0dacbb48bf45561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3bedb381e0c830214bb5006265c3e16c983486105dd4c9a9c36a1c99d3c4041",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-28T15:50:16Z",
    "title_canon_sha256": "6c609f10c77b64f793f9d09708ea61674fa4eef08409901b2613a8e4251722e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7029",
    "kind": "arxiv",
    "version": 3
  }
}