Pith Number

pith:25H7GE65

pith:2016:25H7GE65YHVTODTUP2NQQ6BYTC

not attested not anchored not stored refs pending

A Logarithmic Integrality Gap Bound for Directed Steiner Tree in Quasi-bipartite Graphs

Jochen Koenemann, Mohammad Shadravan, Zachary Friggstad

arxiv:1604.08132 v1 · 2016-04-27 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25H7GE65YHVTODTUP2NQQ6BYTC}

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	2026-05-18T01:16:08.010556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d74ff313ddc1eb370e747e9b0878389896c9b48dbb390bbaf42d668369a176af

Aliases

arxiv: 1604.08132 · arxiv_version: 1604.08132v1 · doi: 10.48550/arxiv.1604.08132 · pith_short_12: 25H7GE65YHVT · pith_short_16: 25H7GE65YHVTODTU · pith_short_8: 25H7GE65

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/25H7GE65YHVTODTUP2NQQ6BYTC \
  | 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: d74ff313ddc1eb370e747e9b0878389896c9b48dbb390bbaf42d668369a176af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b93faf63dd3914421f5e3851ba1540dc5427480e37e4e4fece61ce34901c10e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-04-27T16:30:43Z",
    "title_canon_sha256": "d26d7524964ffea42fadaa70cae1882d8075494ce46f94cc3e3ff9b3f60bd0ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08132",
    "kind": "arxiv",
    "version": 1
  }
}