Pith Number

pith:7O5FSFYF

pith:2015:7O5FSFYFIQVCW3M65CZGOBI2TV

not attested not anchored not stored refs pending

A Bridge between Bilevel Programs and Nash Games

Lorenzo Lampariello, Simone Sagratella

arxiv:1510.06695 v3 · 2015-10-22 · 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{7O5FSFYFIQVCW3M65CZGOBI2TV}

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	2026-05-18T01:04:37.774535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbba591705442a2b6d9ee8b267051a9d703c0c8c28ef8047ebf0d2d24321da43

Aliases

arxiv: 1510.06695 · arxiv_version: 1510.06695v3 · doi: 10.48550/arxiv.1510.06695 · pith_short_12: 7O5FSFYFIQVC · pith_short_16: 7O5FSFYFIQVCW3M6 · pith_short_8: 7O5FSFYF

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/7O5FSFYFIQVCW3M65CZGOBI2TV \
  | 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: fbba591705442a2b6d9ee8b267051a9d703c0c8c28ef8047ebf0d2d24321da43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce9248f1e6a99267764fbad2ebcb8cf9e8187382bb1a1431dfd600684e79f60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-10-22T17:35:08Z",
    "title_canon_sha256": "e52eb40ed951336772e61c3ab3c434fa9e6ea54e6e10d8d85990feb20424035e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06695",
    "kind": "arxiv",
    "version": 3
  }
}