Pith Number

pith:GPOLWBXR

pith:2005:GPOLWBXRJWQR3HPXYG37CC76OS

not attested not anchored not stored refs pending

Cosmological expansion and the uniqueness of gravitational action

I. Vilja, T. Multamaki

arxiv:astro-ph/0506692 v1 · 2005-06-28 · astro-ph · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPOLWBXRJWQR3HPXYG37CC76OS}

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	2026-05-18T03:24:40.298746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33dcbb06f14da11d9df7c1b7f10bfe749cae4d9168779bf7b18c18327bc8548e

Aliases

arxiv: astro-ph/0506692 · arxiv_version: astro-ph/0506692v1 · doi: 10.48550/arxiv.astro-ph/0506692 · pith_short_12: GPOLWBXRJWQR · pith_short_16: GPOLWBXRJWQR3HPX · pith_short_8: GPOLWBXR

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/GPOLWBXRJWQR3HPXYG37CC76OS \
  | 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: 33dcbb06f14da11d9df7c1b7f10bfe749cae4d9168779bf7b18c18327bc8548e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcb80f4b1c5bcc11c228cb9b1249846a6d4f42df10396f44d0666e03697fabbd",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-06-28T11:05:32Z",
    "title_canon_sha256": "887fb789b3af798dd2a5769098be97bb310d13c306128adfcd2c55809de6ab53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0506692",
    "kind": "arxiv",
    "version": 1
  }
}