Pith Number

pith:KMT3J3RR

pith:2019:KMT3J3RRXA2JH2C4UJP2PTSUYL

not attested not anchored not stored refs pending

Safe sets in digraphs

Anders Yeo, J{\o}rgen Bang-Jensen, Shinya Fujita, Yandong Bai

arxiv:1908.06664 v1 · 2019-08-19 · cs.CC · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMT3J3RRXA2JH2C4UJP2PTSUYL}

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	2026-07-04T23:58:18.320903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5327b4ee31b83493e85ca25fa7ce54c2e64d502bc36443812f59d59c93b3bb5b

Aliases

arxiv: 1908.06664 · arxiv_version: 1908.06664v1 · doi: 10.48550/arxiv.1908.06664 · pith_short_12: KMT3J3RRXA2J · pith_short_16: KMT3J3RRXA2JH2C4 · pith_short_8: KMT3J3RR

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/KMT3J3RRXA2JH2C4UJP2PTSUYL \
  | 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: 5327b4ee31b83493e85ca25fa7ce54c2e64d502bc36443812f59d59c93b3bb5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3120621e51d5a3f70d8f299f945eabfdae02452e300d336eb547409810ea9c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-08-19T09:33:26Z",
    "title_canon_sha256": "ae8c69ce9926f91bd1fde98373d8063a26e688cb27d0723d6dd3a25ab32bd8b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06664",
    "kind": "arxiv",
    "version": 1
  }
}