Pith Number

pith:PMO623DK

pith:2016:PMO623DKQR2SISIHNJNVSELUAR

not attested not anchored not stored refs pending

Improved Lower Bounds for Graph Embedding Problems

Hans L. Bodlaender, Tom C. van der Zanden

arxiv:1610.09130 v1 · 2016-10-28 · cs.CC · 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{PMO623DKQR2SISIHNJNVSELUAR}

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	2026-05-18T01:00:59.061547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1ded6c6a84752449076a5b5911740470ca160fad1196029532e253878d512e

Aliases

arxiv: 1610.09130 · arxiv_version: 1610.09130v1 · doi: 10.48550/arxiv.1610.09130 · pith_short_12: PMO623DKQR2S · pith_short_16: PMO623DKQR2SISIH · pith_short_8: PMO623DK

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/PMO623DKQR2SISIHNJNVSELUAR \
  | 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: 7b1ded6c6a84752449076a5b5911740470ca160fad1196029532e253878d512e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25137e3361921a10604ebcfe4ed851337e2609209f95904d780f4445947d0666",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-10-28T09:13:30Z",
    "title_canon_sha256": "f559a4cb902e8db9f51da42b96cbcf0ddd14dd34ee28efac0b255a941db8c01f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09130",
    "kind": "arxiv",
    "version": 1
  }
}