Pith Number

pith:DW6K7XUK

pith:2018:DW6K7XUK2VS7CCWYRUDDYRNA4I

not attested not anchored not stored refs pending

On the Shannon entropy of the number of vertices with zero in-degree in randomly oriented hypergraphs

Christos Pelekis

arxiv:1808.04166 v1 · 2018-08-13 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DW6K7XUK2VS7CCWYRUDDYRNA4I}

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	2026-05-18T00:08:18.697686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbcafde8ad565f10ad88d063c45a0e23f33d8f589bae91f9b48c6b9aece18b6

Aliases

arxiv: 1808.04166 · arxiv_version: 1808.04166v1 · doi: 10.48550/arxiv.1808.04166 · pith_short_12: DW6K7XUK2VS7 · pith_short_16: DW6K7XUK2VS7CCWY · pith_short_8: DW6K7XUK

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/DW6K7XUK2VS7CCWYRUDDYRNA4I \
  | 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: 1dbcafde8ad565f10ad88d063c45a0e23f33d8f589bae91f9b48c6b9aece18b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef0f0b9dbe97dfb578775bebc910352546173eb231e5edeef3727de52140bbd",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-13T12:19:48Z",
    "title_canon_sha256": "b805d8761ea55f0c3765cd158d56a79eed5f90d4253678c6b16321f8f3cfeb68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04166",
    "kind": "arxiv",
    "version": 1
  }
}