Pith Number

pith:GSHNPEWL

pith:2017:GSHNPEWLZTOMOUFRGUHHBIEUBC

not attested not anchored not stored refs pending

Finding All Useless Arcs in Directed Planar Graphs

Bundit Laekhanukit, Jittat Fakcharoenphol, Pattara Sukprasert

arxiv:1702.04786 v4 · 2017-02-15 · 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{GSHNPEWLZTOMOUFRGUHHBIEUBC}

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	2026-05-18T00:16:38.987986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

348ed792cbccdcc750b1350e70a0940884023c98fa5e8196b5214438e607ffb9

Aliases

arxiv: 1702.04786 · arxiv_version: 1702.04786v4 · doi: 10.48550/arxiv.1702.04786 · pith_short_12: GSHNPEWLZTOM · pith_short_16: GSHNPEWLZTOMOUFR · pith_short_8: GSHNPEWL

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/GSHNPEWLZTOMOUFRGUHHBIEUBC \
  | 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: 348ed792cbccdcc750b1350e70a0940884023c98fa5e8196b5214438e607ffb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "488723575c2c87fe57cddc74f93dfe1ca2942d18b280b567870093db972f899a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-02-15T21:35:22Z",
    "title_canon_sha256": "0f76f0777f7620820974c9a92b52f1adaf9d18789e5f6b76893639ff1d681ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04786",
    "kind": "arxiv",
    "version": 4
  }
}