Pith Number

pith:YN67GV5R

pith:2022:YN67GV5RZ3OVGXD27HOGVSFKZN

not attested not anchored not stored refs pending

Differentiable Bilevel Programming for Stackelberg Congestion Games

Boyi Liu, Jiayang Li, Jing Yu, Qianni Wang, Yu Marco Nie, Zhaoran Wang

arxiv:2209.07618 v4 · 2022-09-15 · cs.GT · cs.AI · cs.MA · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YN67GV5RZ3OVGXD27HOGVSFKZN}

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.

Cited by

1 paper in Pith

Wardropian Cycles make traffic assignment both optimal and fair by eliminating price-of-anarchy with Cyclical User Equilibrium for compliant connected autonomous vehicles

Receipt and verification

First computed	2026-07-05T08:18:39.732140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c37df357b1cedd535c7af9dc6ac8aacb5397de8f9d32a3b1b821ef090f41213c

Aliases

arxiv: 2209.07618 · arxiv_version: 2209.07618v4 · doi: 10.48550/arxiv.2209.07618 · pith_short_12: YN67GV5RZ3OV · pith_short_16: YN67GV5RZ3OVGXD2 · pith_short_8: YN67GV5R

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/YN67GV5RZ3OVGXD27HOGVSFKZN \
  | 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: c37df357b1cedd535c7af9dc6ac8aacb5397de8f9d32a3b1b821ef090f41213c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000743e069587bafbb4954dd6a2495b32cc84ec9673626108c46bd1916edc177",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.MA",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2022-09-15T21:32:23Z",
    "title_canon_sha256": "70289eccab08f01eb98208a8bebec5349df306c0b5ff202311423d73afad1fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.07618",
    "kind": "arxiv",
    "version": 4
  }
}