Pith Number

pith:Q772XQMN

pith:2016:Q772XQMNLKOH33ZKPWHPQ6OF7M

not attested not anchored not stored refs pending

Surviving in Directed Graphs: A Polylogarithmic Approximation for Two-Connected Directed Steiner Tree

Bundit Laekhanukit, Fabrizio Grandoni

arxiv:1611.01644 v1 · 2016-11-05 · 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{Q772XQMNLKOH33ZKPWHPQ6OF7M}

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	2026-05-18T01:00:04.785390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87ffabc18d5a9c7def2a7d8ef879c5fb3446b6777574ef19ae090d47c11ec7e9

Aliases

arxiv: 1611.01644 · arxiv_version: 1611.01644v1 · doi: 10.48550/arxiv.1611.01644 · pith_short_12: Q772XQMNLKOH · pith_short_16: Q772XQMNLKOH33ZK · pith_short_8: Q772XQMN

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/Q772XQMNLKOH33ZKPWHPQ6OF7M \
  | 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: 87ffabc18d5a9c7def2a7d8ef879c5fb3446b6777574ef19ae090d47c11ec7e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd43a407c19b2f3c602cbaff35d53ea7f65933be24fb0271c96e2c3b71096736",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-11-05T12:56:15Z",
    "title_canon_sha256": "ac5dbef26853f0d24b25c25f9fc58cbf3a2808c49258cebcfc1e942d5271bdb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01644",
    "kind": "arxiv",
    "version": 1
  }
}