Pith Number

pith:V5YSPVFK

pith:2018:V5YSPVFK33Y6SWDGXHTU6LDPHI

not attested not anchored not stored refs pending

Cokernels of adjacency matrices of random $r$-regular graphs

Hoi H. Nguyen, Melanie Matchett Wood

arxiv:1806.10068 v2 · 2018-06-26 · 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{V5YSPVFK33Y6SWDGXHTU6LDPHI}

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	2026-05-18T00:12:03.592681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7127d4aadef1e95866b9e74f2c6f3a1fe1c0ed92b82b7d21a555e4bc0cac09

Aliases

arxiv: 1806.10068 · arxiv_version: 1806.10068v2 · doi: 10.48550/arxiv.1806.10068 · pith_short_12: V5YSPVFK33Y6 · pith_short_16: V5YSPVFK33Y6SWDG · pith_short_8: V5YSPVFK

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/V5YSPVFK33Y6SWDGXHTU6LDPHI \
  | 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: af7127d4aadef1e95866b9e74f2c6f3a1fe1c0ed92b82b7d21a555e4bc0cac09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee086aca4cc6f80e5dba5f9f85c791226513f4f744789d13dee53921b739eea3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-26T15:42:47Z",
    "title_canon_sha256": "ed878525b3b92f8260b53edfb75c2ff87de0bd92be34261bfbd006c4bc6c2714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10068",
    "kind": "arxiv",
    "version": 2
  }
}