Pith Number

pith:5JWRUPTR

pith:2012:5JWRUPTRUCC7CQQ7WW6MQOIY3H

not attested not anchored not stored refs pending

GKW representation theorem and linear BSDEs under restricted information. An application to risk-minimization

Alessandra Cretarola, Claudia Ceci, Francesco Russo

arxiv:1205.3726 v2 · 2012-05-16 · 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{5JWRUPTRUCC7CQQ7WW6MQOIY3H}

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	2026-05-18T03:00:01.237600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6d1a3e71a085f1421fb5bcc83918d9f1a4b6535aa0d7fce5c62c4a7ac1bebb

Aliases

arxiv: 1205.3726 · arxiv_version: 1205.3726v2 · doi: 10.48550/arxiv.1205.3726 · pith_short_12: 5JWRUPTRUCC7 · pith_short_16: 5JWRUPTRUCC7CQQ7 · pith_short_8: 5JWRUPTR

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/5JWRUPTRUCC7CQQ7WW6MQOIY3H \
  | 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: ea6d1a3e71a085f1421fb5bcc83918d9f1a4b6535aa0d7fce5c62c4a7ac1bebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8727e05a17bdc922cbe261a16c43386d3b542c26d40dcba08bf21b35dca26247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-16T16:29:44Z",
    "title_canon_sha256": "64215a0da5211c2edf895e0e8ddb50455613985c3f3823bee36d7b10b7334e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3726",
    "kind": "arxiv",
    "version": 2
  }
}