Pith Number

pith:HGD5LREI

pith:2019:HGD5LREI66YPHI5PWPTBLPLKPZ

not attested not anchored not stored refs pending

Stochastic integration with respect to arbitrary collections of continuous semimartingales and applications to Mathematical Finance

Constantinos Kardaras

arxiv:1908.03946 v2 · 2019-08-11 · math.PR · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGD5LREI66YPHI5PWPTBLPLKPZ}

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	2026-07-04T23:58:10.744616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3987d5c488f7b0f3a3afb3e615bd6a7e78ef7a30e4128095b8272b303f8a8eeb

Aliases

arxiv: 1908.03946 · arxiv_version: 1908.03946v2 · doi: 10.48550/arxiv.1908.03946 · pith_short_12: HGD5LREI66YP · pith_short_16: HGD5LREI66YPHI5P · pith_short_8: HGD5LREI

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/HGD5LREI66YPHI5PWPTBLPLKPZ \
  | 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: 3987d5c488f7b0f3a3afb3e615bd6a7e78ef7a30e4128095b8272b303f8a8eeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5465665b0ba2dab17ef2a5dcbe10c052746b0b05f5aa41a1b869b6bc2712af4b",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-11T18:24:28Z",
    "title_canon_sha256": "48ff03db39ec11209dda68f4ea62256c0c001500f448d73bf0d54e4056abad38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03946",
    "kind": "arxiv",
    "version": 2
  }
}