pith. sign in
Pith Number

pith:HWHZ72GY

pith:2017:HWHZ72GY34YYJZUJV6KLCYXKNK
not attested not anchored not stored refs pending

Graphs with Extremal Connected Forcing Numbers

Boris Brimkov, Caleb C. Fast, Illya V. Hicks

arxiv:1701.08500 v1 · 2017-01-30 · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HWHZ72GY34YYJZUJV6KLCYXKNK}

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 2026-05-18T00:51:29.842447Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3d8f9fe8d8df3184e689af94b162ea6aa5e9f2adbc97c413e1980d2820e7b2de

Aliases

arxiv: 1701.08500 · arxiv_version: 1701.08500v1 · doi: 10.48550/arxiv.1701.08500 · pith_short_12: HWHZ72GY34YY · pith_short_16: HWHZ72GY34YYJZUJ · pith_short_8: HWHZ72GY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HWHZ72GY34YYJZUJV6KLCYXKNK \
  | 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: 3d8f9fe8d8df3184e689af94b162ea6aa5e9f2adbc97c413e1980d2820e7b2de
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5929e7ed75ddb3ca45bf2fe932ff8dd1252b5682cece09094e6586764041b97c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-01-30T07:13:09Z",
    "title_canon_sha256": "2b2e1e7845823fc04fa26dd516cc56df5e246a44156a32e9fe8a047f0ddacea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08500",
    "kind": "arxiv",
    "version": 1
  }
}