Pith Number

pith:E6EZEASQ

pith:2018:E6EZEASQ2IWFZMJPFZTZJ2DBVO

not attested not anchored not stored refs pending

The zero forcing polynomial of a graph

Ariel Keller, Boris Brimkov, Carolyn Reinhart, Daniela Ferrero, Kirk Boyer, Michael Phillips, Rachel Kirsch, Sean English

arxiv:1801.08910 v1 · 2018-01-26 · 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{E6EZEASQ2IWFZMJPFZTZJ2DBVO}

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	2026-05-17T23:45:56.850112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2789920250d22c5cb12f2e6794e861ab96d520390f84f3cfdb39ae143b84e3c0

Aliases

arxiv: 1801.08910 · arxiv_version: 1801.08910v1 · doi: 10.48550/arxiv.1801.08910 · pith_short_12: E6EZEASQ2IWF · pith_short_16: E6EZEASQ2IWFZMJP · pith_short_8: E6EZEASQ

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/E6EZEASQ2IWFZMJPFZTZJ2DBVO \
  | 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: 2789920250d22c5cb12f2e6794e861ab96d520390f84f3cfdb39ae143b84e3c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be00ff39d2845044c16b2f9a0fffff35a067feed8b0cf7a938a4c1899578b5c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-26T17:39:20Z",
    "title_canon_sha256": "5ab4960096da6dc5622d6750bca62878fb301ad87f3283f8e865d69467e70180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08910",
    "kind": "arxiv",
    "version": 1
  }
}