Pith Number

pith:LY6FCYYH

pith:2014:LY6FCYYHFO7D3VT4UH5V4QCQ22

not attested not anchored not stored refs pending

Hubble's Law Implies Benford's Law for Distances to Galaxies

Ronald F. Fox, Theodore P. Hill

arxiv:1412.1536 v5 · 2014-12-04 · physics.data-an · physics.pop-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LY6FCYYHFO7D3VT4UH5V4QCQ22}

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	2026-05-18T02:20:12.335023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e3c5163072bbe3dd67ca1fb5e4050d691eb5a067e064db477a6b6e35605fb4b

Aliases

arxiv: 1412.1536 · arxiv_version: 1412.1536v5 · doi: 10.48550/arxiv.1412.1536 · pith_short_12: LY6FCYYHFO7D · pith_short_16: LY6FCYYHFO7D3VT4 · pith_short_8: LY6FCYYH

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/LY6FCYYHFO7D3VT4UH5V4QCQ22 \
  | 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: 5e3c5163072bbe3dd67ca1fb5e4050d691eb5a067e064db477a6b6e35605fb4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d125597f176370b0d29a0d97538ca66052284d377df7c3b3f684ad9c45c56492",
    "cross_cats_sorted": [
      "physics.pop-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2014-12-04T01:55:07Z",
    "title_canon_sha256": "45e69ab89f18ca3967a28d053c34d640c8d2b531902c024caa618c6315b3eb8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1536",
    "kind": "arxiv",
    "version": 5
  }
}