Pith Number

pith:AQRC3ZVM

pith:2018:AQRC3ZVMTNRFCZYWGSOK5S6CLO

not attested not anchored not stored refs pending

Generalizing Geometric Brownian Motion

Peter Carr, Zhibai Zhang

arxiv:1809.02245 v1 · 2018-09-06 · q-fin.MF · q-fin.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{AQRC3ZVMTNRFCZYWGSOK5S6CLO}

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	2026-05-18T00:06:17.584479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04222de6ac9b62516716349caecbc25b8a370bf5acbc9ca2a6385a4ff5f2e0a2

Aliases

arxiv: 1809.02245 · arxiv_version: 1809.02245v1 · doi: 10.48550/arxiv.1809.02245 · pith_short_12: AQRC3ZVMTNRF · pith_short_16: AQRC3ZVMTNRFCZYW · pith_short_8: AQRC3ZVM

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/AQRC3ZVMTNRFCZYWGSOK5S6CLO \
  | 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: 04222de6ac9b62516716349caecbc25b8a370bf5acbc9ca2a6385a4ff5f2e0a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1519278711f4f13d2d793543c636409039cb8f0db2f126f398e7f5440da1251",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2018-09-06T23:01:27Z",
    "title_canon_sha256": "5bcd8eb3338ccb8de275724d2ef66edf80585e6345d34c5c538db1d03837e88e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02245",
    "kind": "arxiv",
    "version": 1
  }
}