Pith Number

pith:VA3MGGB4

pith:2016:VA3MGGB4QABTN27OD4RM2ZLB7Z

not attested not anchored not stored refs pending

Backward Stochastic Differential Equations with Nonmarkovian Singular Terminal Values

Alexandre Popier, Ali Devin Sezer, Thomas Kruse

arxiv:1611.09022 v1 · 2016-11-28 · 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{VA3MGGB4QABTN27OD4RM2ZLB7Z}

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	2026-05-18T00:56:29.475895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a836c3183c800336ebee1f22cd6561fe6ef7912afd95ecf66ff1b6cbc45164f3

Aliases

arxiv: 1611.09022 · arxiv_version: 1611.09022v1 · doi: 10.48550/arxiv.1611.09022 · pith_short_12: VA3MGGB4QABT · pith_short_16: VA3MGGB4QABTN27O · pith_short_8: VA3MGGB4

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/VA3MGGB4QABTN27OD4RM2ZLB7Z \
  | 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: a836c3183c800336ebee1f22cd6561fe6ef7912afd95ecf66ff1b6cbc45164f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdefcfd40a8ed51bfae80f6cd50e89356530d1c275de62e8658ac5bd20eb2e8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-28T08:38:37Z",
    "title_canon_sha256": "287549ef87317a53083dd6b26a26563e12fedb7e3f64b9f7a4536ce9ddd24168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09022",
    "kind": "arxiv",
    "version": 1
  }
}