Pith Number

pith:I6Z4L4GF

pith:2015:I6Z4L4GFIBYJEJ7C3BUYPVZXQQ

not attested not anchored not stored refs pending

Tests for the Expansion of the Universe

Martin Lopez-Corredoira

arxiv:1501.01487 v1 · 2015-01-07 · astro-ph.CO · 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{I6Z4L4GFIBYJEJ7C3BUYPVZXQQ}

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	2026-05-18T02:29:54.025306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47b3c5f0c540709227e2d86987d737840fc74a4a783d18fced00a7e60e3d3070

Aliases

arxiv: 1501.01487 · arxiv_version: 1501.01487v1 · doi: 10.48550/arxiv.1501.01487 · pith_short_12: I6Z4L4GFIBYJ · pith_short_16: I6Z4L4GFIBYJEJ7C · pith_short_8: I6Z4L4GF

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/I6Z4L4GFIBYJEJ7C3BUYPVZXQQ \
  | 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: 47b3c5f0c540709227e2d86987d737840fc74a4a783d18fced00a7e60e3d3070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa7ee50821ba17f1114f7af865da80ca6399c0f9e09494a3f620d6da06d99ad",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-01-07T13:33:10Z",
    "title_canon_sha256": "e58128bb9b5804b6fd4ce1291d8deca3a4af8240872c1cb619bc8fafbd41ee21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01487",
    "kind": "arxiv",
    "version": 1
  }
}