Pith Number

pith:HQLEE5PT

pith:2021:HQLEE5PTSZRXHYL6OYUP6SLDQB

not attested not anchored not stored refs pending

Equilibrium modeling and solution approaches inspired by nonconvex bilevel programming

Dimitri Papageorgiou, Francisco Trespalacios, Kevin Furman, Stuart Harwood

arxiv:2107.01286 v3 · 2021-07-02 · 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{HQLEE5PTSZRXHYL6OYUP6SLDQB}

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	2026-07-05T06:56:19.723664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c164275f3966373e17e7628ff49638074af062370aa5bfd03ad62ca34767eee

Aliases

arxiv: 2107.01286 · arxiv_version: 2107.01286v3 · doi: 10.48550/arxiv.2107.01286 · pith_short_12: HQLEE5PTSZRX · pith_short_16: HQLEE5PTSZRXHYL6 · pith_short_8: HQLEE5PT

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/HQLEE5PTSZRXHYL6OYUP6SLDQB \
  | 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: 3c164275f3966373e17e7628ff49638074af062370aa5bfd03ad62ca34767eee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa2d280ce354c84052a997edc412e892e642dc3c18a1b2fc02568855c61b674c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-07-02T21:30:58Z",
    "title_canon_sha256": "bb1b76a0ef56f289b8df9007cebb3374e51b5fbe52bee6a0a2e4a35416bb6837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01286",
    "kind": "arxiv",
    "version": 3
  }
}