Pith Number

pith:X7G6KSIQ

pith:2015:X7G6KSIQV2RHF6TDRJNKRJLPN7

not attested not anchored not stored refs pending

A Family of Dense Mixed Graphs of Diameter $2$

Camino Balbuena, Gabriela Araujo-Pardo, M. Miller, M. \v{Z}d\'imalov\'a

arxiv:1511.06050 v1 · 2015-11-19 · 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{X7G6KSIQV2RHF6TDRJNKRJLPN7}

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	2026-05-18T01:26:26.359954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfcde54910aea272fa638a5aa8a56f6fd926b7129a8a0773880aabcd7c5358d6

Aliases

arxiv: 1511.06050 · arxiv_version: 1511.06050v1 · doi: 10.48550/arxiv.1511.06050 · pith_short_12: X7G6KSIQV2RH · pith_short_16: X7G6KSIQV2RHF6TD · pith_short_8: X7G6KSIQ

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/X7G6KSIQV2RHF6TDRJNKRJLPN7 \
  | 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: bfcde54910aea272fa638a5aa8a56f6fd926b7129a8a0773880aabcd7c5358d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90db1e72e9f4ae98e7bab7d1f448cb6c0f60f777f65bac32920d9e05bdcccfad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-19T03:10:46Z",
    "title_canon_sha256": "084315cfb9c37f066716f28f7ff5246d3ca24caea5f3d3c7f3e1084dec46fccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06050",
    "kind": "arxiv",
    "version": 1
  }
}