Pith Number

pith:MEMUAJWC

pith:2012:MEMUAJWCR75WOLONEFTOO4LZUX

not attested not anchored not stored refs pending

Perturbative Expansion Technique for Non-linear FBSDEs with Interacting Particle Method

Akihiko Takahashi, Masaaki Fujii

arxiv:1204.2638 v2 · 2012-04-12 · q-fin.CP · q-fin.PR · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MEMUAJWCR75WOLONEFTOO4LZUX}

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	2026-05-18T03:57:15.560050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61194026c28ffb672dcd2166e77179a5ea65931b5fee39de51f2604af780b6b2

Aliases

arxiv: 1204.2638 · arxiv_version: 1204.2638v2 · doi: 10.48550/arxiv.1204.2638 · pith_short_12: MEMUAJWCR75W · pith_short_16: MEMUAJWCR75WOLON · pith_short_8: MEMUAJWC

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/MEMUAJWCR75WOLONEFTOO4LZUX \
  | 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: 61194026c28ffb672dcd2166e77179a5ea65931b5fee39de51f2604af780b6b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f50cb654dbdd0429331cee8bf2cf78b266a3591049be05e2e03f6ea1a624ffc",
    "cross_cats_sorted": [
      "q-fin.PR",
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2012-04-12T07:20:55Z",
    "title_canon_sha256": "a83d2a06fcf0edea5e9e3b5946c4c73cf36cd820f2ab5aa469533efc90d7900b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2638",
    "kind": "arxiv",
    "version": 2
  }
}