Pith Number

pith:BPUSPACS

pith:2017:BPUSPACS2R5RMRQYSJZU3SGP45

not attested not anchored not stored refs pending

The computational complexity of integer programming with alternations

Danny Nguyen, Igor Pak

arxiv:1702.08662 v4 · 2017-02-28 · math.CO · cs.CC · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPUSPACS2R5RMRQYSJZU3SGP45}

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	2026-05-18T00:45:06.129260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be9278052d47b16461892734dc8cfe74ac3535c66c349dbb814003a8f1d7854

Aliases

arxiv: 1702.08662 · arxiv_version: 1702.08662v4 · doi: 10.48550/arxiv.1702.08662 · pith_short_12: BPUSPACS2R5R · pith_short_16: BPUSPACS2R5RMRQY · pith_short_8: BPUSPACS

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/BPUSPACS2R5RMRQYSJZU3SGP45 \
  | 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: 0be9278052d47b16461892734dc8cfe74ac3535c66c349dbb814003a8f1d7854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "124c7b15cc8e27a9c7c343a6e0701c63f2de97d47c2678a0d84e40b2c5754ba4",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-28T06:26:44Z",
    "title_canon_sha256": "0d39de74e46e170d64eaed981bbee3caeef6f0967ffb550b68358e913521528f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08662",
    "kind": "arxiv",
    "version": 4
  }
}