Pith Number

pith:72RTEBEL

pith:2024:72RTEBEL42MSCDTSCAJZQWWZ3G

not attested not anchored not stored refs pending

A Cardinality-Constrained Approach to Combinatorial Bilevel Congestion Pricing

Jiayang Li, Jun Xie, Lei Guo, Yu Marco Nie

arxiv:2412.06482 v3 · 2024-12-09 · math.OC · cs.GT · 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{72RTEBEL42MSCDTSCAJZQWWZ3G}

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	2026-07-05T10:52:57.131937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea332048be699210e721013985ad9d9829acf2bd9b79dff975ffcc0f00ae541

Aliases

arxiv: 2412.06482 · arxiv_version: 2412.06482v3 · doi: 10.48550/arxiv.2412.06482 · pith_short_12: 72RTEBEL42MS · pith_short_16: 72RTEBEL42MSCDTS · pith_short_8: 72RTEBEL

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/72RTEBEL42MSCDTSCAJZQWWZ3G \
  | 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: fea332048be699210e721013985ad9d9829acf2bd9b79dff975ffcc0f00ae541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "399fc04e471cf6493471c8e073867b807a1c0698fb179fca6403c77eed64208a",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-09T13:31:32Z",
    "title_canon_sha256": "a729e71e2a1b3884b7639da3d6238d7e54f9d54c2047b1356332d607771967e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06482",
    "kind": "arxiv",
    "version": 3
  }
}