Pith Number

pith:GFDNDSPO

pith:2019:GFDNDSPOMMBQVTSRXYHM2SZC7G

not attested not anchored not stored refs pending

Backward Stochastic Differential Equations with Non-Markovian Singular Terminal Conditions with General Driver and Filtration

Alexandre Popier, Ali Devin Sezer, Mahdi Ahmadi

arxiv:1911.07016 v1 · 2019-11-16 · 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{GFDNDSPOMMBQVTSRXYHM2SZC7G}

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	2026-07-05T00:19:42.004190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3146d1c9ee63030ace51be0ecd4b22f99f79c50080b2f676c3912808108a4e91

Aliases

arxiv: 1911.07016 · arxiv_version: 1911.07016v1 · doi: 10.48550/arxiv.1911.07016 · pith_short_12: GFDNDSPOMMBQ · pith_short_16: GFDNDSPOMMBQVTSR · pith_short_8: GFDNDSPO

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/GFDNDSPOMMBQVTSRXYHM2SZC7G \
  | 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: 3146d1c9ee63030ace51be0ecd4b22f99f79c50080b2f676c3912808108a4e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c696ad372c24bb9316a933eba6c58fa52cc0bba66738fb6073b379e3864a936",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-11-16T11:47:11Z",
    "title_canon_sha256": "688a435268793726bc8bb2e3dc1c7f43415894ed21ab25db9e0ff42578ceb84e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.07016",
    "kind": "arxiv",
    "version": 1
  }
}