Pith Number

pith:YQRJJTGL

pith:2017:YQRJJTGLO5JE2NJZ3GY7FWO2PZ

not attested not anchored not stored refs pending

On the Combinatorial Lower Bound for the Extension Complexity of the Spanning Tree Polytope

Dirk Oliver Theis, Kaveh Khoshkhah

arxiv:1702.01424 v1 · 2017-02-05 · cs.DM · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQRJJTGLO5JE2NJZ3GY7FWO2PZ}

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	2026-05-18T00:51:23.481229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c42294cccb77524d3539d9b1f2d9da7e52c087015eb0289d3aec340e4a6746b1

Aliases

arxiv: 1702.01424 · arxiv_version: 1702.01424v1 · doi: 10.48550/arxiv.1702.01424 · pith_short_12: YQRJJTGLO5JE · pith_short_16: YQRJJTGLO5JE2NJZ · pith_short_8: YQRJJTGL

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/YQRJJTGLO5JE2NJZ3GY7FWO2PZ \
  | 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: c42294cccb77524d3539d9b1f2d9da7e52c087015eb0289d3aec340e4a6746b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6599dd0a37913f8cf3bb1d2853722632e4dd0800dc11cd026bba63862f5f382",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-02-05T16:22:19Z",
    "title_canon_sha256": "1287a2cdbc3a60c2976552b7b1ab0cee72cd2fdbda7b7db2e8dcb8365372d563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01424",
    "kind": "arxiv",
    "version": 1
  }
}