Pith Number

pith:BLTY37HB

pith:2024:BLTY37HBPKY2A5EBEIGLYDLRGJ

not attested not anchored not stored refs pending

What if the universe expands linearly? A local general relativity to solve the "zero active mass" problem

Robert Monjo

arxiv:2408.08339 v1 · 2024-08-15 · astro-ph.CO · astro-ph.GA · 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{BLTY37HBPKY2A5EBEIGLYDLRGJ}

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	2026-07-05T08:55:52.817926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ae78dfce17ab1a07481220cbc0d71327ef6af7d1820ffc4e263c0520bd2b9ab

Aliases

arxiv: 2408.08339 · arxiv_version: 2408.08339v1 · doi: 10.48550/arxiv.2408.08339 · pith_short_12: BLTY37HBPKY2 · pith_short_16: BLTY37HBPKY2A5EB · pith_short_8: BLTY37HB

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/BLTY37HBPKY2A5EBEIGLYDLRGJ \
  | 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: 0ae78dfce17ab1a07481220cbc0d71327ef6af7d1820ffc4e263c0520bd2b9ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "912b1e785851db65841f8cfd9f6eaeaee68fe1611e25dd09bc1bd9576106f60a",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-08-15T11:41:54Z",
    "title_canon_sha256": "1b8693bb47ebcef1cd016936706c2b11bafc1428672966d96d1d5ed6defd9b7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.08339",
    "kind": "arxiv",
    "version": 1
  }
}