Pith Number

pith:PL4GFH6K

pith:2014:PL4GFH6KSD4CYV3PEHHLADN6PH

not attested not anchored not stored refs pending

A Comparison between the Metric Dimension and Zero Forcing Number of Trees and Unicyclic Graphs

Cong X. Kang, Eunjeong Yi, Linda Eroh

arxiv:1408.5943 v2 · 2014-08-25 · 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{PL4GFH6KSD4CYV3PEHHLADN6PH}

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	2026-05-18T00:42:13.748470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af8629fca90f82c576f21ceb00dbe79fa4c0e7643fd81a5a5ff22409d74f090

Aliases

arxiv: 1408.5943 · arxiv_version: 1408.5943v2 · doi: 10.48550/arxiv.1408.5943 · pith_short_12: PL4GFH6KSD4C · pith_short_16: PL4GFH6KSD4CYV3P · pith_short_8: PL4GFH6K

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/PL4GFH6KSD4CYV3PEHHLADN6PH \
  | 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: 7af8629fca90f82c576f21ceb00dbe79fa4c0e7643fd81a5a5ff22409d74f090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c516475e37cc9c4c9b36dd5f2fce8eb8f0ca010ab402dece7ebd52fba0b96ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-25T23:05:35Z",
    "title_canon_sha256": "2c484fd17b1b6e4b2ab073997055acbb7db41dca7af92622ac34545e2eadb6a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5943",
    "kind": "arxiv",
    "version": 2
  }
}