Pith Number

pith:APOOO45J

pith:2014:APOOO45JXFKGYXYZQN4SA5H4W6

not attested not anchored not stored refs pending

On Anticipated backward stochastic differential equations with Markov chain noise

Robert J. Elliott, Zhe Yang

arxiv:1412.8707 v2 · 2014-12-30 · 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{APOOO45JXFKGYXYZQN4SA5H4W6}

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	2026-05-18T02:12:10.977208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03dce773a9b9546c5f1983792074fcb794659e38628cb9a7f9fb3e0f1e8286a8

Aliases

arxiv: 1412.8707 · arxiv_version: 1412.8707v2 · doi: 10.48550/arxiv.1412.8707 · pith_short_12: APOOO45JXFKG · pith_short_16: APOOO45JXFKGYXYZ · pith_short_8: APOOO45J

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/APOOO45JXFKGYXYZQN4SA5H4W6 \
  | 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: 03dce773a9b9546c5f1983792074fcb794659e38628cb9a7f9fb3e0f1e8286a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a2f472f1a86578a97f7644c7614e61bc87941da0490d7ccc0c2f3fe9cb11ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-30T17:53:07Z",
    "title_canon_sha256": "7e20604273141b3ff3865fa7e9593088abb04e602241b0685f272748b122b98b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8707",
    "kind": "arxiv",
    "version": 2
  }
}