Pith Number

pith:KPUTS4FR

pith:2017:KPUTS4FRD4FQ4CN4T2OJYMPRKK

not attested not anchored not stored refs pending

Representation of asymptotic values for nonexpansive stochastic control systems

Juan Li, Nana Zhao

arxiv:1708.02335 v1 · 2017-08-08 · 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{KPUTS4FRD4FQ4CN4T2OJYMPRKK}

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	2026-05-18T00:38:24.716706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53e93970b11f0b0e09bc9e9c9c31f152b69ea689ad6a1e36bd116a039359ee8c

Aliases

arxiv: 1708.02335 · arxiv_version: 1708.02335v1 · doi: 10.48550/arxiv.1708.02335 · pith_short_12: KPUTS4FRD4FQ · pith_short_16: KPUTS4FRD4FQ4CN4 · pith_short_8: KPUTS4FR

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/KPUTS4FRD4FQ4CN4T2OJYMPRKK \
  | 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: 53e93970b11f0b0e09bc9e9c9c31f152b69ea689ad6a1e36bd116a039359ee8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b37ae352930f22587a1705ea2487003a5fd1342e0c35df3b11d63133ff97b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-08T00:05:59Z",
    "title_canon_sha256": "e175652c1e95ddde69acba2df9a3c61924b6d4a3133f763c1adcc20d1bd43548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02335",
    "kind": "arxiv",
    "version": 1
  }
}