Pith Number

pith:H4U2ISS2

pith:2006:H4U2ISS22VVRHT6DHHRS77G2HP

not attested not anchored not stored refs pending

Hidden invariance in Gurzadyan-Xue cosmological models

G. V. Vereshchagin, G. Yegorian

arxiv:astro-ph/0603289 v2 · 2006-03-12 · 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{H4U2ISS22VVRHT6DHHRS77G2HP}

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	2026-05-18T02:40:25.425443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f29a44a5ad56b13cfc339e32ffcda3bc06fea3e1ad330bf9ac3ab06bf6cff0f

Aliases

arxiv: astro-ph/0603289 · arxiv_version: astro-ph/0603289v2 · doi: 10.48550/arxiv.astro-ph/0603289 · pith_short_12: H4U2ISS22VVR · pith_short_16: H4U2ISS22VVRHT6D · pith_short_8: H4U2ISS2

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/H4U2ISS22VVRHT6DHHRS77G2HP \
  | 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: 3f29a44a5ad56b13cfc339e32ffcda3bc06fea3e1ad330bf9ac3ab06bf6cff0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "016bec9a988015614d1cb6693442a3b0b52511abee5dd484ef99b61e8888c3dc",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-03-12T15:50:14Z",
    "title_canon_sha256": "43bbf98c0c86cddc6b6ead228556d950bbc100a82e3c795e24b4ad4f1edd4b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0603289",
    "kind": "arxiv",
    "version": 2
  }
}