Pith Number

pith:6NMJYKYB

pith:2019:6NMJYKYBEI7JS5VWPHMVZYPJ6F

not attested not anchored not stored refs pending

Hyperbolic Optimization over the Integer Efficient Set of MOILFP

Fatma Zohra Ouail, Mohamed El-Amine Chergui

arxiv:1907.02036 v1 · 2019-07-03 · math.OC · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NMJYKYBEI7JS5VWPHMVZYPJ6F}

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	2026-05-17T23:41:31.817083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3589c2b01223e9976b679d95ce1e9f14a891cb75904705372d511faa4568188

Aliases

arxiv: 1907.02036 · arxiv_version: 1907.02036v1 · doi: 10.48550/arxiv.1907.02036 · pith_short_12: 6NMJYKYBEI7J · pith_short_16: 6NMJYKYBEI7JS5VW · pith_short_8: 6NMJYKYB

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/6NMJYKYBEI7JS5VWPHMVZYPJ6F \
  | 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: f3589c2b01223e9976b679d95ce1e9f14a891cb75904705372d511faa4568188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dbc6cd8e11d8490a76b6c6af2c30dce325c038223382c4cfef8acb5340dc75b",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-03T16:58:15Z",
    "title_canon_sha256": "5a881632841c5b6a0c89d2058230774f173a0149bebb81cf874d5c5f39f35811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02036",
    "kind": "arxiv",
    "version": 1
  }
}