Pith Number

pith:VLRZNX4S

pith:2021:VLRZNX4S55NUIQJFKLGD2AZ35V

not attested not anchored not stored refs pending

A Cooperative-Competitive Multi-Agent Framework for Auto-bidding in Online Advertising

Bo Zheng, Chao Wen, Chuan Yu, Dong Xie, Fan Wu, Guihai Chen, Jian Xu, Miao Xu, Xiangyu Liu, Xiaoqiang Zhu, Xiaoyang Tan, Yuhui Wang, Yu Rong, Zhenzhe Zheng, Zhilin Zhang

arxiv:2106.06224 v2 · 2021-06-11 · cs.MA · cs.AI · cs.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLRZNX4S55NUIQJFKLGD2AZ35V}

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	2026-07-05T03:46:02.457712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae396df92ef5b44412552cc3d033bed4b3117cb6476e7dbe7b89d4e8bf238d8

Aliases

arxiv: 2106.06224 · arxiv_version: 2106.06224v2 · doi: 10.48550/arxiv.2106.06224 · pith_short_12: VLRZNX4S55NU · pith_short_16: VLRZNX4S55NUIQJF · pith_short_8: VLRZNX4S

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/VLRZNX4S55NUIQJFKLGD2AZ35V \
  | 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: aae396df92ef5b44412552cc3d033bed4b3117cb6476e7dbe7b89d4e8bf238d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a10d570c7872da73544a09c34cb5442059c917ec498218cb59c9823d05e01c19",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2021-06-11T08:07:14Z",
    "title_canon_sha256": "cb5767f13cef3cd722b2b6c02e35126a8cad277226117d702033a40486211942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.06224",
    "kind": "arxiv",
    "version": 2
  }
}