Pith Number

pith:SBL2QXRF

pith:2016:SBL2QXRFDBUDICJQAA55OOVO26

not attested not anchored not stored refs pending

Game Theoretic Control of Multi-Agent Systems

Daizhan Cheng, Jinhuan Wang, Ting Liu

arxiv:1608.00192 v1 · 2016-07-31 · 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{SBL2QXRFDBUDICJQAA55OOVO26}

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	2026-05-18T01:10:12.271628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9057a85e251868340930003bd73aaed7a4cb22d3e82c540f6be00b286fdb4d4d

Aliases

arxiv: 1608.00192 · arxiv_version: 1608.00192v1 · doi: 10.48550/arxiv.1608.00192 · pith_short_12: SBL2QXRFDBUD · pith_short_16: SBL2QXRFDBUDICJQ · pith_short_8: SBL2QXRF

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/SBL2QXRFDBUDICJQAA55OOVO26 \
  | 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: 9057a85e251868340930003bd73aaed7a4cb22d3e82c540f6be00b286fdb4d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d810ad593577320dd4c43a9dd9d8112931cb607cc9a163f51e8643978979b003",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-31T06:51:07Z",
    "title_canon_sha256": "b0f327d9fd843996270d7e8d0c8a0f65d5c27de01056e17975a7ce3fff831fa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00192",
    "kind": "arxiv",
    "version": 1
  }
}