Pith Number

pith:4HR3F2XE

pith:2020:4HR3F2XEZYXK3TLUDG4DC7GR6D

not attested not anchored not stored refs pending

The Hole Argument

Oliver Pooley

arxiv:2009.09982 v1 · 2020-09-21 · physics.hist-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HR3F2XEZYXK3TLUDG4DC7GR6D}

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.

Cited by

1 paper in Pith

On the perturbed Friedmann equations in Newtonian Gauge

Receipt and verification

First computed	2026-07-05T01:36:55.047700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e3b2eae4ce2eadcd7419b8317cd1f0fa4d3ac207e4c544b36d22c5100ac154

Aliases

arxiv: 2009.09982 · arxiv_version: 2009.09982v1 · doi: 10.48550/arxiv.2009.09982 · pith_short_12: 4HR3F2XEZYXK · pith_short_16: 4HR3F2XEZYXK3TLU · pith_short_8: 4HR3F2XE

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/4HR3F2XEZYXK3TLUDG4DC7GR6D \
  | 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: e1e3b2eae4ce2eadcd7419b8317cd1f0fa4d3ac207e4c544b36d22c5100ac154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b69d7a74a35db726befb0f0361a91541054c2fb581cb83c7fcecb1e8fa7a14b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2020-09-21T16:07:21Z",
    "title_canon_sha256": "eea90114e26f2c0a9d00ad7d7acf0691db8b3a37450d52c64f7dc6ec423fe1e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.09982",
    "kind": "arxiv",
    "version": 1
  }
}