Pith Number

pith:PSSPMPEQ

pith:2014:PSSPMPEQO6NLRL3BH272EHN3RW

not attested not anchored not stored refs pending

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

Cong X. Kang, Eunjeong Yi

arxiv:1401.3008 v2 · 2014-01-13 · 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{PSSPMPEQO6NLRL3BH272EHN3RW}

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	2026-05-18T02:31:38.303084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca4f63c90779ab8af613ebfa21dbb8d9478fb1093543c181c1a2c88f8f21c27

Aliases

arxiv: 1401.3008 · arxiv_version: 1401.3008v2 · doi: 10.48550/arxiv.1401.3008 · pith_short_12: PSSPMPEQO6NL · pith_short_16: PSSPMPEQO6NLRL3B · pith_short_8: PSSPMPEQ

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/PSSPMPEQO6NLRL3BH272EHN3RW \
  | 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: 7ca4f63c90779ab8af613ebfa21dbb8d9478fb1093543c181c1a2c88f8f21c27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30a6812bd9880d85662cc15a277db4c3e0dd26956e6f34325fdb3eba29b4cb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-13T21:05:43Z",
    "title_canon_sha256": "b7eb4a463be8ac2757d4aa4b7132161dff37a18a07b75287b43c36206b27f1cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3008",
    "kind": "arxiv",
    "version": 2
  }
}