Pith Number

pith:ETV3PJ5O

pith:2022:ETV3PJ5OBEQA7KDSNFJGNRQWCN

not attested not anchored not stored refs pending

Gravitational entropy and the flatness, homogeneity and isotropy puzzles

Latham Boyle, Neil Turok

arxiv:2201.07279 v1 · 2022-01-18 · hep-th · astro-ph.CO · gr-qc · hep-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{ETV3PJ5OBEQA7KDSNFJGNRQWCN}

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

The free boundary problem in general relativity

Receipt and verification

First computed	2026-07-05T03:49:45.043611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24ebb7a7ae09200fa872695266c616134476c0112c74647b656ed7b03b497484

Aliases

arxiv: 2201.07279 · arxiv_version: 2201.07279v1 · doi: 10.48550/arxiv.2201.07279 · pith_short_12: ETV3PJ5OBEQA · pith_short_16: ETV3PJ5OBEQA7KDS · pith_short_8: ETV3PJ5O

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/ETV3PJ5OBEQA7KDSNFJGNRQWCN \
  | 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: 24ebb7a7ae09200fa872695266c616134476c0112c74647b656ed7b03b497484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf8c171fe5e28bfc618970d310b0aec72b1b2cdcae12cecb0a0b20699fb3322",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-01-18T19:27:32Z",
    "title_canon_sha256": "584bb85860afc5d84a671dcffaa4405af0e750a0343993b6932ebfd9dcdb64aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.07279",
    "kind": "arxiv",
    "version": 1
  }
}