Pith Number

pith:MARD4NLY

pith:2012:MARD4NLYIQMHX2HUNMR72CYMQI

not attested not anchored not stored refs pending

Extremal Graph Theory for Metric Dimension and Girth

Mohsen Jannesari

arxiv:1203.1584 v2 · 2012-03-07 · 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{MARD4NLYIQMHX2HUNMR72CYMQI}

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	2026-05-18T04:00:26.212614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60223e357844187be8f46b23fd0b0c82196dbaa89467a456bda558c4aa288ded

Aliases

arxiv: 1203.1584 · arxiv_version: 1203.1584v2 · doi: 10.48550/arxiv.1203.1584 · pith_short_12: MARD4NLYIQMH · pith_short_16: MARD4NLYIQMHX2HU · pith_short_8: MARD4NLY

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/MARD4NLYIQMHX2HUNMR72CYMQI \
  | 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: 60223e357844187be8f46b23fd0b0c82196dbaa89467a456bda558c4aa288ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bade576cb2e0ca38fcd6fd3f0081e5639dcd3034a49265fbc332cce621bbb956",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-07T19:48:21Z",
    "title_canon_sha256": "0022c507a95173c463c042b9a2f638b44b613b090bb6260275a168498267d527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1584",
    "kind": "arxiv",
    "version": 2
  }
}