Pith Number

pith:ALWD74OH

pith:2017:ALWD74OHLRAOIK37DHLTAIYH25

not attested not anchored not stored refs pending

Cooperative Control via Congestion Game Approach

Daizhan Cheng, Sisi Pan, Yaqi Hao, Yupeng Qiao

arxiv:1712.02504 v1 · 2017-12-07 · 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{ALWD74OHLRAOIK37DHLTAIYH25}

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	2026-05-18T00:28:33.827732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ec3ff1c75c40e42b7f19d7302307d743511342d8b2907e0308ea72b759ecdb

Aliases

arxiv: 1712.02504 · arxiv_version: 1712.02504v1 · doi: 10.48550/arxiv.1712.02504 · pith_short_12: ALWD74OHLRAO · pith_short_16: ALWD74OHLRAOIK37 · pith_short_8: ALWD74OH

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/ALWD74OHLRAOIK37DHLTAIYH25 \
  | 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: 02ec3ff1c75c40e42b7f19d7302307d743511342d8b2907e0308ea72b759ecdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "722917fce5ab72d53f777a775e06668745fa2e7b8650e0c4badb4168f52d6fef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-07T06:16:58Z",
    "title_canon_sha256": "47476a79cbf821aa5739ce70e562732c85429bf9a7b76caa4b254516fb80f625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02504",
    "kind": "arxiv",
    "version": 1
  }
}