Pith Number

pith:BAFS2CZ6

pith:2018:BAFS2CZ6Z5Z6HR43RCPZ4BQD3I

not attested not anchored not stored refs pending

Maximum principle for stochastic optimal control problem of forward-backward stochastic difference systems

Haodong Liu, Shaolin Ji

arxiv:1812.11283 v1 · 2018-12-29 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BAFS2CZ6Z5Z6HR43RCPZ4BQD3I}

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	2026-05-17T23:57:12.341730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

080b2d0b3ecf73e3c79b889f9e0603da3856e8db11a41ead52513bc285474ba6

Aliases

arxiv: 1812.11283 · arxiv_version: 1812.11283v1 · doi: 10.48550/arxiv.1812.11283 · pith_short_12: BAFS2CZ6Z5Z6 · pith_short_16: BAFS2CZ6Z5Z6HR43 · pith_short_8: BAFS2CZ6

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/BAFS2CZ6Z5Z6HR43RCPZ4BQD3I \
  | 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: 080b2d0b3ecf73e3c79b889f9e0603da3856e8db11a41ead52513bc285474ba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e4c377dd3174d807777b67c4af970416bbcd2a12d2249ca21ec0ee7cba48fcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-12-29T04:26:04Z",
    "title_canon_sha256": "50e91c7e3fae7aadfdc3be59aec532d9e4399a5ba7a28d792e2898e439dce6c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11283",
    "kind": "arxiv",
    "version": 1
  }
}