Pith Number

pith:WWMDCXIE

pith:2026:WWMDCXIEJMGMFBCX3DV4QLHSDB

not attested not anchored not stored refs pending

Intermediate Bilevel Optimization: Modeling Endogenous Follower Tie-Breaking Behavior

Margarida Carvalho, Maria Bazotte, Thibaut Vidal

arxiv:2606.18475 v1 · 2026-06-16 · 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{WWMDCXIEJMGMFBCX3DV4QLHSDB}

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	2026-06-19T16:11:02.054487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b598315d044b0cc28457d8ebc82cf21866c9bc83073dd9a9e4be32e23aa466d8

Aliases

arxiv: 2606.18475 · arxiv_version: 2606.18475v1 · doi: 10.48550/arxiv.2606.18475 · pith_short_12: WWMDCXIEJMGM · pith_short_16: WWMDCXIEJMGMFBCX · pith_short_8: WWMDCXIE

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/WWMDCXIEJMGMFBCX3DV4QLHSDB \
  | 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: b598315d044b0cc28457d8ebc82cf21866c9bc83073dd9a9e4be32e23aa466d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d2b33a7364834c6e3e3db07e8be7c1730a8fde6654f4d9f086464fa97f87a36",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-16T20:34:20Z",
    "title_canon_sha256": "7aabf21a20e8a2a56a942896e61e9100d96b43402ea69f33d488488d7d1eb724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18475",
    "kind": "arxiv",
    "version": 1
  }
}