Pith Number

pith:X4MMCQTQ

pith:2026:X4MMCQTQJTOVVTIBJCBEUW4524

not attested not anchored not stored refs pending

Geometric Routing in Geometric Inhomogeneous Random Graphs

Kostas Lakis, Marc Kaufmann, Ulysse Schaller, Yu-Cheng Chiu

arxiv:2606.02856 v1 · 2026-06-01 · math.PR · cs.SI · 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{X4MMCQTQJTOVVTIBJCBEUW4524}

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	2026-06-03T01:05:24.660395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf18c142704cdd5acd0148824a5b9dd723637120163b912edec6c4b2c412425b

Aliases

arxiv: 2606.02856 · arxiv_version: 2606.02856v1 · doi: 10.48550/arxiv.2606.02856 · pith_short_12: X4MMCQTQJTOV · pith_short_16: X4MMCQTQJTOVVTIB · pith_short_8: X4MMCQTQ

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/X4MMCQTQJTOVVTIBJCBEUW4524 \
  | 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: bf18c142704cdd5acd0148824a5b9dd723637120163b912edec6c4b2c412425b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b30c944ca0755d38f0afb9e4ed325b8609f57f954ec4e498d32218940903533",
    "cross_cats_sorted": [
      "cs.SI",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-01T20:19:25Z",
    "title_canon_sha256": "09223f09bc641fe7ba9db8dc9d8a50e037073f24f3f75a8cb2b473944937efaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02856",
    "kind": "arxiv",
    "version": 1
  }
}