Pith Number

pith:7IMIDVN3

pith:2015:7IMIDVN3LDKJWZCHOHCOT4VT7U

not attested not anchored not stored refs pending

Fully Coupled Forward-backward Stochastic Differential Equations on Markov Chains

Haodong Liu, Shaolin Ji, Xinling Xiao

arxiv:1504.07368 v1 · 2015-04-28 · 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{7IMIDVN3LDKJWZCHOHCOT4VT7U}

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	2026-05-18T02:17:35.005747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa1881d5bb58d49b644771c4e9f2b3fd0a27eb6828d56ca1ce82d064f12d912f

Aliases

arxiv: 1504.07368 · arxiv_version: 1504.07368v1 · doi: 10.48550/arxiv.1504.07368 · pith_short_12: 7IMIDVN3LDKJ · pith_short_16: 7IMIDVN3LDKJWZCH · pith_short_8: 7IMIDVN3

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/7IMIDVN3LDKJWZCHOHCOT4VT7U \
  | 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: fa1881d5bb58d49b644771c4e9f2b3fd0a27eb6828d56ca1ce82d064f12d912f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6514c1ba755bb38a38196977a61a90fbb85d4ba0cb31c99a06525daf9068ccb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-28T07:38:38Z",
    "title_canon_sha256": "50ebd4dccb241b294cb28ed071c541b43444cd0b1cf8d47f4b57a1dbb17c1ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07368",
    "kind": "arxiv",
    "version": 1
  }
}