Pith Number

pith:MXBGXNTL

pith:2014:MXBGXNTLZTC6L7APQTSIKPEXYH

not attested not anchored not stored refs pending

Comparison and converse comparison theorems for backward stochastic differential equations with Markov chain noise

Dimbinirina Ramarimbahoaka, Robert J. Elliott, Zhe Yang

arxiv:1404.2213 v4 · 2014-04-08 · 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{MXBGXNTLZTC6L7APQTSIKPEXYH}

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	2026-05-18T02:32:55.279002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c26bb66bccc5e5fc0f84e4853c97c1e80b88f0d91fca5bcd3b06ee3902040a

Aliases

arxiv: 1404.2213 · arxiv_version: 1404.2213v4 · doi: 10.48550/arxiv.1404.2213 · pith_short_12: MXBGXNTLZTC6 · pith_short_16: MXBGXNTLZTC6L7AP · pith_short_8: MXBGXNTL

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/MXBGXNTLZTC6L7APQTSIKPEXYH \
  | 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: 65c26bb66bccc5e5fc0f84e4853c97c1e80b88f0d91fca5bcd3b06ee3902040a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "704ed067255026c4d8c805ea64db69c4f94e4600dd1b674de90f1c8464f3eda4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-08T17:09:05Z",
    "title_canon_sha256": "6cc89079137996359df55966107b0dd195c0bfff7a5039e7dbf007cf2f0afdbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2213",
    "kind": "arxiv",
    "version": 4
  }
}