Pith Number

pith:XFTDS7KM

pith:2014:XFTDS7KMM2RHAIX4EIZSO65VRD

not attested not anchored not stored refs pending

On Zero Forcing Number of Graphs and Their Complements

Cong X. Kang, Eunjeong Yi, Linda Eroh

arxiv:1402.1962 v2 · 2014-02-09 · 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{XFTDS7KMM2RHAIX4EIZSO65VRD}

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	2026-05-18T02:26:52.985670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b966397d4c66a27022fc2233277bb588c169e475c24058b9e7475cd3ba173ac1

Aliases

arxiv: 1402.1962 · arxiv_version: 1402.1962v2 · doi: 10.48550/arxiv.1402.1962 · pith_short_12: XFTDS7KMM2RH · pith_short_16: XFTDS7KMM2RHAIX4 · pith_short_8: XFTDS7KM

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/XFTDS7KMM2RHAIX4EIZSO65VRD \
  | 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: b966397d4c66a27022fc2233277bb588c169e475c24058b9e7475cd3ba173ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752d6ce0ed30753652fd6d879a0e2834bea2279a49c868b55c0879c8d2ae46d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-09T16:41:41Z",
    "title_canon_sha256": "4d5a4f1c9ecfbb9a2977e0f94babf17b305e30752d98cbb8f2ca4a80e773e3a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1962",
    "kind": "arxiv",
    "version": 2
  }
}