Pith Number

pith:5EC2L3T5

pith:2010:5EC2L3T5SFUBDZVHMGHVJR5XVS

not attested not anchored not stored refs pending

Intractability of approximate multi-dimensional nonlinear optimization on independence systems

Jon Lee, Robert Weismantel, Shmuel Onn

arxiv:1001.5056 v1 · 2010-01-28 · math.OC · cs.CC · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EC2L3T5SFUBDZVHMGHVJR5XVS}

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	2026-05-18T04:18:54.734991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e905a5ee7d916811e6a7618f54c7b7ac8e61ba9660115e457b35be1b76eae556

Aliases

arxiv: 1001.5056 · arxiv_version: 1001.5056v1 · doi: 10.48550/arxiv.1001.5056 · pith_short_12: 5EC2L3T5SFUB · pith_short_16: 5EC2L3T5SFUBDZVH · pith_short_8: 5EC2L3T5

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/5EC2L3T5SFUBDZVHMGHVJR5XVS \
  | 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: e905a5ee7d916811e6a7618f54c7b7ac8e61ba9660115e457b35be1b76eae556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1223d5e53182cdfe722b0a4828be69f3782f3793ee63b73980289f5e370bf081",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-01-28T14:28:46Z",
    "title_canon_sha256": "5317ecb1d7d3f3812b7f60414dd148072e00c54919c87716b6520862ca9afd11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5056",
    "kind": "arxiv",
    "version": 1
  }
}