Pith Number

pith:BBEGNJEU

pith:2012:BBEGNJEUBTWMYC5MSJ6ZADW2EV

not attested not anchored not stored refs pending

Non-Markovian Fully Coupled Forward-Backward Stochastic Systems and Classical Solutions of Path-dependent PDEs

Shaolin Ji, Shuzhen Yang

arxiv:1204.3351 v1 · 2012-04-16 · 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{BBEGNJEUBTWMYC5MSJ6ZADW2EV}

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	2026-05-18T03:57:51.734470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

084866a4940ceccc0bac927d900eda255f75b6e7b311007d34dbc741e07cd571

Aliases

arxiv: 1204.3351 · arxiv_version: 1204.3351v1 · doi: 10.48550/arxiv.1204.3351 · pith_short_12: BBEGNJEUBTWM · pith_short_16: BBEGNJEUBTWMYC5M · pith_short_8: BBEGNJEU

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/BBEGNJEUBTWMYC5MSJ6ZADW2EV \
  | 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: 084866a4940ceccc0bac927d900eda255f75b6e7b311007d34dbc741e07cd571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b6909d5a91cfc80e81410f353853b0a5aece342a702e677f0d8986a6203151",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-16T03:13:01Z",
    "title_canon_sha256": "023f1b5a51496a10d960aa084bd11951ef9e3c01ac64738a0d8d011915333e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3351",
    "kind": "arxiv",
    "version": 1
  }
}