Pith Number

pith:5TLFU3Y7

pith:2019:5TLFU3Y72FM7XGFX3XYE3YJYX3

not attested not anchored not stored refs pending

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

Haodong Liu, Shailin Ji

arxiv:1907.04209 v1 · 2019-07-06 · math.OC · 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{5TLFU3Y72FM7XGFX3XYE3YJYX3}

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	2026-05-17T23:41:03.007074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecd65a6f1fd159fb98b7ddf04de138bec1fcec9084fa6c811dadd5ce2ef760ff

Aliases

arxiv: 1907.04209 · arxiv_version: 1907.04209v1 · doi: 10.48550/arxiv.1907.04209 · pith_short_12: 5TLFU3Y72FM7 · pith_short_16: 5TLFU3Y72FM7XGFX · pith_short_8: 5TLFU3Y7

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/5TLFU3Y72FM7XGFX3XYE3YJYX3 \
  | 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: ecd65a6f1fd159fb98b7ddf04de138bec1fcec9084fa6c811dadd5ce2ef760ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11bb9101866747c7c05d74111d634817fe058d8636f98903ed643408af7b0812",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-06T00:05:21Z",
    "title_canon_sha256": "77d3dc51e87400c080be606a18bd600ddb643621745378f9a80befa29b1f9740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04209",
    "kind": "arxiv",
    "version": 1
  }
}