Pith Number

pith:UM7OJBA7

pith:2015:UM7OJBA75IL7I7WPDKEAZEANQD

not attested not anchored not stored refs pending

On backward stochastic differential equations driven by a family of It\^o's processes

Abdelkarem Berkaoui, El Hassan Essaky

arxiv:1511.00193 v1 · 2015-11-01 · 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{UM7OJBA75IL7I7WPDKEAZEANQD}

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	2026-05-18T01:28:12.988146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a33ee4841fea17f47ecf1a880c900d80e48a5bd4ae11f55a701ece69d4370f42

Aliases

arxiv: 1511.00193 · arxiv_version: 1511.00193v1 · doi: 10.48550/arxiv.1511.00193 · pith_short_12: UM7OJBA75IL7 · pith_short_16: UM7OJBA75IL7I7WP · pith_short_8: UM7OJBA7

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/UM7OJBA75IL7I7WPDKEAZEANQD \
  | 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: a33ee4841fea17f47ecf1a880c900d80e48a5bd4ae11f55a701ece69d4370f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b150a215eec0880eb0ad7c3ca85917376b4e136d145991fc709c25436356c1e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-01T00:15:05Z",
    "title_canon_sha256": "b03df52dcab69314d4e63d29ee98364fa6040651f7d5b46e2634bf606bc5f2d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00193",
    "kind": "arxiv",
    "version": 1
  }
}