Pith Number

pith:U4GE2PKL

pith:2024:U4GE2PKL756TKSWHLZ2RVCXRZM

not attested not anchored not stored refs pending

The number of connected components in sub-critical random graph processes

Josu\'e Corujo

arxiv:2406.06380 v2 · 2024-06-10 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4GE2PKL756TKSWHLZ2RVCXRZM}

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	2026-05-20T00:02:46.143262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70c4d3d4bff7d354ac75e751a8af1cb12cdde93a9a71413a17392b4a4186400

Aliases

arxiv: 2406.06380 · arxiv_version: 2406.06380v2 · doi: 10.48550/arxiv.2406.06380 · pith_short_12: U4GE2PKL756T · pith_short_16: U4GE2PKL756TKSWH · pith_short_8: U4GE2PKL

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/U4GE2PKL756TKSWHLZ2RVCXRZM \
  | 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: a70c4d3d4bff7d354ac75e751a8af1cb12cdde93a9a71413a17392b4a4186400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4f1fb553cf49395fb9f5324d10fa3db5a27ce9f3ea44d18c86d4ee8df4aa5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-06-10T15:40:25Z",
    "title_canon_sha256": "142492a4eb73cf6766d8cc6229839b60d5bae9db5241132ada08592ed92e84ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.06380",
    "kind": "arxiv",
    "version": 2
  }
}