Pith Number

pith:YLLL43Y6

pith:2013:YLLL43Y6FZTCDR4QGQ5UOBJDJA

not attested not anchored not stored refs pending

Solutions for Functional Fully Coupled Forward-Backward Stochastic Differential Equations

Shaolin Ji, Shuzhen Yang

arxiv:1309.7203 v1 · 2013-09-27 · 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{YLLL43Y6FZTCDR4QGQ5UOBJDJA}

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	2026-05-18T03:11:59.878772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2d6be6f1e2e6621c790343b470523481894ad224ea345d5c27a0ac0e55ad376

Aliases

arxiv: 1309.7203 · arxiv_version: 1309.7203v1 · doi: 10.48550/arxiv.1309.7203 · pith_short_12: YLLL43Y6FZTC · pith_short_16: YLLL43Y6FZTCDR4Q · pith_short_8: YLLL43Y6

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/YLLL43Y6FZTCDR4QGQ5UOBJDJA \
  | 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: c2d6be6f1e2e6621c790343b470523481894ad224ea345d5c27a0ac0e55ad376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "943c75968ed08eaff3a6fad8702627b324df9221de8a712dad359b556b6f26c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-27T11:05:45Z",
    "title_canon_sha256": "c65e4e91cdec809626015946433c567cf2e8370b35e8cd94b02748086f215a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7203",
    "kind": "arxiv",
    "version": 1
  }
}