Pith Number

pith:5DQZKFGK

pith:2018:5DQZKFGK6TYFPZKJXEVDSV5H7N

not attested not anchored not stored refs pending

A limit theorem for the six-length of random functional graphs with a fixed degree sequence

Kevin Leckey, Nicholas Wormald

arxiv:1803.02667 v1 · 2018-03-07 · 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{5DQZKFGK6TYFPZKJXEVDSV5H7N}

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	2026-05-18T00:21:49.570625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8e19514caf4f057e549b92a3957a7fb5919b9ee637ed3726e7c3ccea66836a9

Aliases

arxiv: 1803.02667 · arxiv_version: 1803.02667v1 · doi: 10.48550/arxiv.1803.02667 · pith_short_12: 5DQZKFGK6TYF · pith_short_16: 5DQZKFGK6TYFPZKJ · pith_short_8: 5DQZKFGK

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/5DQZKFGK6TYFPZKJXEVDSV5H7N \
  | 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: e8e19514caf4f057e549b92a3957a7fb5919b9ee637ed3726e7c3ccea66836a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49a4181cc0835239c030a5ecff18e7b598d5f069ac393ea1037726694a8f6914",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-07T14:19:47Z",
    "title_canon_sha256": "441afde5a13d071996fa13e18a4a127d7cc50810487e7e4a9ba16a8b7f3ea334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02667",
    "kind": "arxiv",
    "version": 1
  }
}