Pith Number

pith:65LWDX2P

pith:2016:65LWDX2PQGX4AFFY4ALWHZBFEV

not attested not anchored not stored refs pending

Infinite horizon jump-diffusion forward-backward stochastic differential equations and their application to backward linear-quadratic problems

Zhiyong Yu

arxiv:1608.05688 v1 · 2016-08-19 · math.PR · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65LWDX2PQGX4AFFY4ALWHZBFEV}

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	2026-05-18T01:08:27.811474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f75761df4f81afc014b8e01763e425256a132906fb511a17b13d3a51c4013f5e

Aliases

arxiv: 1608.05688 · arxiv_version: 1608.05688v1 · doi: 10.48550/arxiv.1608.05688 · pith_short_12: 65LWDX2PQGX4 · pith_short_16: 65LWDX2PQGX4AFFY · pith_short_8: 65LWDX2P

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/65LWDX2PQGX4AFFY4ALWHZBFEV \
  | 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: f75761df4f81afc014b8e01763e425256a132906fb511a17b13d3a51c4013f5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f9a31cdd1a42f3dd23cba733bb8b965aed6a8c8e921fea2584defc49a380505",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-19T18:29:16Z",
    "title_canon_sha256": "c998a8ae920c4c7576c2cb892a9b4de8a50bb73064f7bbed6932197476646c69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05688",
    "kind": "arxiv",
    "version": 1
  }
}