Pith Number

pith:P3XB4LTW

pith:2023:P3XB4LTWS7J6HOVYKGQ6QOP5BL

not attested not anchored not stored refs pending

Globally Solving a Class of Bilevel Programs with Spatial Price Equilibrium Constraints

Akshit Goyal, Jean-Philippe P. Richard

arxiv:2309.13502 v3 · 2023-09-23 · 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{P3XB4LTWS7J6HOVYKGQ6QOP5BL}

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	2026-07-05T08:35:37.702799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eee1e2e7697d3e3bab851a1e839fd0ac977f10c1c493cb8b4892666a1b4cb9d

Aliases

arxiv: 2309.13502 · arxiv_version: 2309.13502v3 · doi: 10.48550/arxiv.2309.13502 · pith_short_12: P3XB4LTWS7J6 · pith_short_16: P3XB4LTWS7J6HOVY · pith_short_8: P3XB4LTW

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/P3XB4LTWS7J6HOVYKGQ6QOP5BL \
  | 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: 7eee1e2e7697d3e3bab851a1e839fd0ac977f10c1c493cb8b4892666a1b4cb9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a3baa73364cacef78cec344b2d07cc86a85de747ac9e4c3320f1fe4165934ee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-09-23T23:53:25Z",
    "title_canon_sha256": "61eaac9b2dcd6b4d8a742c5ca8b29aaac233366735c4a54724de9f3e0ff2e0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.13502",
    "kind": "arxiv",
    "version": 3
  }
}