Pith Number

pith:VV22GH3S

pith:2011:VV22GH3SAN46YB5YQFBFJYJC7Z

not attested not anchored not stored refs pending

Progressive enlargement of filtrations and Backward SDEs with jumps

Idris Kharroubi (CEREMADE), Thomas Lim (ENSIIE)

arxiv:1101.2815 v2 · 2011-01-14 · math.OC · 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{VV22GH3SAN46YB5YQFBFJYJC7Z}

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	2026-05-18T03:54:26.344743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad75a31f720379ec07b8814254e122fe67a369575bce23a3552f4629746901ed

Aliases

arxiv: 1101.2815 · arxiv_version: 1101.2815v2 · doi: 10.48550/arxiv.1101.2815 · pith_short_12: VV22GH3SAN46 · pith_short_16: VV22GH3SAN46YB5Y · pith_short_8: VV22GH3S

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/VV22GH3SAN46YB5YQFBFJYJC7Z \
  | 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: ad75a31f720379ec07b8814254e122fe67a369575bce23a3552f4629746901ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f80de0257a264ab6b847b8cc577957d629fd291a311fc10ad433bafe5c3cebb7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-01-14T14:02:58Z",
    "title_canon_sha256": "0d44236d94103def09e46c19a72c39a2594ad7669fd7618ec67a3d30cb32eb38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2815",
    "kind": "arxiv",
    "version": 2
  }
}