Pith Number

pith:NADIHOT2

pith:2015:NADIHOT2RJ3TVGY4Z3TTUNKPZN

not attested not anchored not stored refs pending

Martingale property of exponential semimartingales: a note on explicit conditions and applications to financial models

David Criens, Kathrin Glau, Zorana Grbac

arxiv:1506.08127 v2 · 2015-06-26 · q-fin.MF · 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{NADIHOT2RJ3TVGY4Z3TTUNKPZN}

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	2026-05-18T01:09:29.790135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

680683ba7a8a773a9b1ccee73a354fcb6d8694662b4e359627de369105ed5f2a

Aliases

arxiv: 1506.08127 · arxiv_version: 1506.08127v2 · doi: 10.48550/arxiv.1506.08127 · pith_short_12: NADIHOT2RJ3T · pith_short_16: NADIHOT2RJ3TVGY4 · pith_short_8: NADIHOT2

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/NADIHOT2RJ3TVGY4Z3TTUNKPZN \
  | 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: 680683ba7a8a773a9b1ccee73a354fcb6d8694662b4e359627de369105ed5f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbae2f09a36c6cb826d740a8dae9ec481c29599a5eb83bbc5c8c042f8c934567",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-06-26T15:51:08Z",
    "title_canon_sha256": "6c5dde0f806ad833caf4d0f734fb72ad11613d75aa332f0107bebe04bc00a73c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08127",
    "kind": "arxiv",
    "version": 2
  }
}