Pith Number

pith:IMCLFBOI

pith:2021:IMCLFBOI5JXXCS4HYVPVBW3DXO

not attested not anchored not stored refs pending

Helly systems and certificates in optimization

Amitabh Basu, Hongyi Jiang, Michele Conforti, Tongtong Chen

arxiv:2111.05225 v3 · 2021-11-09 · math.OC · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMCLFBOI5JXXCS4HYVPVBW3DXO}

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.

Cited by

1 paper in Pith

Sample Complexity of Stochastic Optimization with Integer Variables

Receipt and verification

First computed	2026-07-05T04:35:39.472680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4304b285c8ea6f714b87c55f50db63bb869621f95178fa89f6f250189768847e

Aliases

arxiv: 2111.05225 · arxiv_version: 2111.05225v3 · doi: 10.48550/arxiv.2111.05225 · pith_short_12: IMCLFBOI5JXX · pith_short_16: IMCLFBOI5JXXCS4H · pith_short_8: IMCLFBOI

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/IMCLFBOI5JXXCS4HYVPVBW3DXO \
  | 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: 4304b285c8ea6f714b87c55f50db63bb869621f95178fa89f6f250189768847e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a0d9d64307e2be7d57b9a9a4ef63c7813129e7fda3f51a4c6c13f695d8fe9f7",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-11-09T16:06:46Z",
    "title_canon_sha256": "c75d467448d68eaaf14fd1131142a2832a9ee90a35b076d4525893ac22af14a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05225",
    "kind": "arxiv",
    "version": 3
  }
}