Pith Number

pith:57IIDYZ4

pith:2018:57IIDYZ4SKIV5WQUYPSL3VXRR6

not attested not anchored not stored refs pending

$O(\log^2k/\log\log{k})$-Approximation Algorithm for Directed Steiner Tree: A Tight Quasi-Polynomial-Time Algorithm

Bundit Laekhanukit, Fabrizio Grandoni, Shi Li

arxiv:1811.03020 v1 · 2018-11-07 · 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{57IIDYZ4SKIV5WQUYPSL3VXRR6}

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	2026-05-18T00:01:20.127328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd081e33c92915eda14c3e4bdd6f18fb62dcc7e97b26020953178b492e20b34

Aliases

arxiv: 1811.03020 · arxiv_version: 1811.03020v1 · doi: 10.48550/arxiv.1811.03020 · pith_short_12: 57IIDYZ4SKIV · pith_short_16: 57IIDYZ4SKIV5WQU · pith_short_8: 57IIDYZ4

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/57IIDYZ4SKIV5WQUYPSL3VXRR6 \
  | 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: efd081e33c92915eda14c3e4bdd6f18fb62dcc7e97b26020953178b492e20b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c957a0f1263f74fbd737ac734d6fe0af8e2e4120e88a5ed5789252d61f2a350",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-11-07T17:12:46Z",
    "title_canon_sha256": "ceb8afd0569bf6ff7ec41598897ff57fb6f5baab5e2f88a7309134160d900faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03020",
    "kind": "arxiv",
    "version": 1
  }
}