Pith Number

pith:MEXAITWF

pith:2018:MEXAITWFN4LGOHUPTHGA37JODO

not attested not anchored not stored refs pending

Zero Forcing Number of Random Regular Graphs

Calum MacRury, Deepak Bal, Patrick Bennett, Pawe{\l} Pra{\l}at, Sean English

arxiv:1812.06477 v1 · 2018-12-16 · 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{MEXAITWFN4LGOHUPTHGA37JODO}

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	2026-05-17T23:58:10.133140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

612e044ec56f16671e8f99cc0dfd2e1b9527f7b449f141ef628d1117092d8333

Aliases

arxiv: 1812.06477 · arxiv_version: 1812.06477v1 · doi: 10.48550/arxiv.1812.06477 · pith_short_12: MEXAITWFN4LG · pith_short_16: MEXAITWFN4LGOHUP · pith_short_8: MEXAITWF

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/MEXAITWFN4LGOHUPTHGA37JODO \
  | 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: 612e044ec56f16671e8f99cc0dfd2e1b9527f7b449f141ef628d1117092d8333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81cd68e5276ecc620a2f540c029ea046613465d34d48805e3bd2c793989f0a6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-16T15:06:11Z",
    "title_canon_sha256": "1cd3a5d92de3d59b973e05c9563701c503caa5915d1046666a975a7470c21786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06477",
    "kind": "arxiv",
    "version": 1
  }
}