Pith Number

pith:B5GFLYMX

pith:2022:B5GFLYMX2ROGZ5ZFTGS7BE3BPI

not attested not anchored not stored refs pending

Solving sparse separable bilinear programs using lifted bilinear cover inequalities

Jean-Philippe P. Richard, Santanu S. Dey, Xiaoyi Gu

arxiv:2208.00345 v1 · 2022-07-31 · 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{B5GFLYMX2ROGZ5ZFTGS7BE3BPI}

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	2026-07-05T04:44:50.372559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f4c55e197d45c6cf72599a5f093617a374346d4afd60e6cdbe7a1b08340f97c

Aliases

arxiv: 2208.00345 · arxiv_version: 2208.00345v1 · doi: 10.48550/arxiv.2208.00345 · pith_short_12: B5GFLYMX2ROG · pith_short_16: B5GFLYMX2ROGZ5ZF · pith_short_8: B5GFLYMX

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/B5GFLYMX2ROGZ5ZFTGS7BE3BPI \
  | 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: 0f4c55e197d45c6cf72599a5f093617a374346d4afd60e6cdbe7a1b08340f97c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "978a9c1e73709ebeae1f37f0a11c234f710d4525605953f4715a4a112891c59e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-07-31T02:43:27Z",
    "title_canon_sha256": "78a7f8bcb8449700d0822391876fd8009d3c7c29875ab8e5b8b9b7a2d91e08c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.00345",
    "kind": "arxiv",
    "version": 1
  }
}