Pith Number

pith:SZD4ZPCO

pith:2017:SZD4ZPCOO4MQQ7LXIK66PSTDDT

not attested not anchored not stored refs pending

Mild solutions to the dynamic programming equation for stochastic optimal control problems

Chiara Benazzoli, Luca Di Persio, Viorel Barbu

arxiv:1706.06824 v1 · 2017-06-21 · 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{SZD4ZPCOO4MQQ7LXIK66PSTDDT}

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	2026-05-18T00:41:56.751587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9647ccbc4e7719087d7742bde7ca631cd6305369ba8cd5f5321cbb9e12a489dd

Aliases

arxiv: 1706.06824 · arxiv_version: 1706.06824v1 · doi: 10.48550/arxiv.1706.06824 · pith_short_12: SZD4ZPCOO4MQ · pith_short_16: SZD4ZPCOO4MQQ7LX · pith_short_8: SZD4ZPCO

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/SZD4ZPCOO4MQQ7LXIK66PSTDDT \
  | 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: 9647ccbc4e7719087d7742bde7ca631cd6305369ba8cd5f5321cbb9e12a489dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a89115cab4d3772d2fc97d936c7af97d76985100ab1586612091f2215f7224",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-21T11:02:02Z",
    "title_canon_sha256": "1f71ccd3d88b4f653f708ad1a678038abcf7a723876cd259f189bab2923f51e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06824",
    "kind": "arxiv",
    "version": 1
  }
}