Pith Number

pith:N5XXTQNT

pith:2026:N5XXTQNTCYS4QWAWTTANZV7ZFW

not attested not anchored not stored refs pending

The geometry of the giant component of random geometric graphs

Christian Gorski, Karoline Dubin, Marcus Michelen

arxiv:2606.01627 v1 · 2026-06-01 · math.PR · 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{N5XXTQNTCYS4QWAWTTANZV7ZFW}

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	2026-06-02T02:04:38.466000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f6f79c1b31625c858169cc0dcd7f92db112608ab4ac00ab088f81a4dd7518d0

Aliases

arxiv: 2606.01627 · arxiv_version: 2606.01627v1 · doi: 10.48550/arxiv.2606.01627 · pith_short_12: N5XXTQNTCYS4 · pith_short_16: N5XXTQNTCYS4QWAW · pith_short_8: N5XXTQNT

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/N5XXTQNTCYS4QWAWTTANZV7ZFW \
  | 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: 6f6f79c1b31625c858169cc0dcd7f92db112608ab4ac00ab088f81a4dd7518d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a09850ed2df74ab32aba9db312cfd96fa9386e0d886da35305b7d6d87d6c6b3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-01T03:24:53Z",
    "title_canon_sha256": "21788441968cbbb7f1566f3f93d74ab603f2951e6172ca8c550fbeb9cec1765d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01627",
    "kind": "arxiv",
    "version": 1
  }
}