Pith Number

pith:C6JPXWT5

pith:2012:C6JPXWT567ZP3TR2I4ME6K4IZ3

not attested not anchored not stored refs pending

Classical Solutions of Path-dependent PDEs and Functional Forward-Backward Stochastic Systems

Shaolin Ji, Shuzhen Yang

arxiv:1204.3702 v1 · 2012-04-17 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6JPXWT567ZP3TR2I4ME6K4IZ3}

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	2026-05-18T03:57:39.825246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1792fbda7df7f2fdce3a47184f2b88ced3386044e0031c9fbc74d95966d8a32f

Aliases

arxiv: 1204.3702 · arxiv_version: 1204.3702v1 · doi: 10.48550/arxiv.1204.3702 · pith_short_12: C6JPXWT567ZP · pith_short_16: C6JPXWT567ZP3TR2 · pith_short_8: C6JPXWT5

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/C6JPXWT567ZP3TR2I4ME6K4IZ3 \
  | 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: 1792fbda7df7f2fdce3a47184f2b88ced3386044e0031c9fbc74d95966d8a32f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0996fb7c2f091d3dea194973644efe84e942b19082e78cb57f1b0458f4c4c51d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-17T05:16:21Z",
    "title_canon_sha256": "927dfa0fd6fdef4f33928afcfb572742221ddd6872e224b0f05155e029a1f3a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3702",
    "kind": "arxiv",
    "version": 1
  }
}