Pith Number

pith:VB27FMHV

pith:2024:VB27FMHVFO7PSL75XMSJ7C2QUD

not attested not anchored not stored refs pending

Rainbow connectivity of multilayered random geometric graphs

Josep D\'iaz, Maria Serna, Oriol Serra, \"Oznur Ya\c{s}ar Diner

arxiv:2407.12323 v2 · 2024-07-17 · 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{VB27FMHVFO7PSL75XMSJ7C2QUD}

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	2026-07-05T10:22:02.370921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a875f2b0f52bbef92ffdbb249f8b50a0e21bee87f4b07a50cecb26f877aea276

Aliases

arxiv: 2407.12323 · arxiv_version: 2407.12323v2 · doi: 10.48550/arxiv.2407.12323 · pith_short_12: VB27FMHVFO7P · pith_short_16: VB27FMHVFO7PSL75 · pith_short_8: VB27FMHV

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/VB27FMHVFO7PSL75XMSJ7C2QUD \
  | 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: a875f2b0f52bbef92ffdbb249f8b50a0e21bee87f4b07a50cecb26f877aea276

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10c4b3c4ede8aa5d19e89ebad78e2989c8f745ddde61964723555dcd356e8720",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-17T05:49:39Z",
    "title_canon_sha256": "c9a81db8d85d6579f4b4ec588fd6e89b7e0cd8d56a6ba1c5caa7d75a13e46073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.12323",
    "kind": "arxiv",
    "version": 2
  }
}