Pith Number

pith:KPXBN4HT

pith:2023:KPXBN4HTQS2DE6NTBBR6TV3SOV

not attested not anchored not stored refs pending

Decentralized Control for Discrete-time Mean-Field Systems with Multiple Controllers of Delayed Information

Qianqian Zhang, Qingyuan Qi, Xinbei Lv, Zhiqiang Liu

arxiv:2309.01341 v1 · 2023-09-04 · 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{KPXBN4HTQS2DE6NTBBR6TV3SOV}

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	2026-07-05T06:47:36.470864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53ee16f0f384b43279b30863e9d7727573c72651ce6eac4d17873f08226a402a

Aliases

arxiv: 2309.01341 · arxiv_version: 2309.01341v1 · doi: 10.48550/arxiv.2309.01341 · pith_short_12: KPXBN4HTQS2D · pith_short_16: KPXBN4HTQS2DE6NT · pith_short_8: KPXBN4HT

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/KPXBN4HTQS2DE6NTBBR6TV3SOV \
  | 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: 53ee16f0f384b43279b30863e9d7727573c72651ce6eac4d17873f08226a402a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57029c94e9d2183d29f22449bd7286169d73411681477db14caf5f097e063234",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-09-04T03:58:26Z",
    "title_canon_sha256": "8067b91434e782f850be945ff3a52768ab5158601200297990ac235a7fbfaea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.01341",
    "kind": "arxiv",
    "version": 1
  }
}