Pith Number

pith:RZ7JSNBA

pith:2001:RZ7JSNBAW2COODCOYYQOOPUHRG

not attested not anchored not stored refs pending

Homogeneity, Flatness and "Large" Extra Dimensions

Dejan Stojkovic, Glenn D. Starkman, Mark Trodden

arxiv:hep-th/0106143 v2 · 2001-06-15 · hep-th · astro-ph · 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{RZ7JSNBAW2COODCOYYQOOPUHRG}

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	2026-07-04T15:23:14.250875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7e993420b684e70c4ec620e73e87898299bc61f6c41cef4281665eeab77ef6

Aliases

arxiv: hep-th/0106143 · arxiv_version: hep-th/0106143v2 · doi: 10.48550/arxiv.hep-th/0106143 · pith_short_12: RZ7JSNBAW2CO · pith_short_16: RZ7JSNBAW2COODCO · pith_short_8: RZ7JSNBA

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/RZ7JSNBAW2COODCOYYQOOPUHRG \
  | 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: 8e7e993420b684e70c4ec620e73e87898299bc61f6c41cef4281665eeab77ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0384cc13e367f1eecdcc3083fcb858be9c535320f939d2f2c3699416527877d5",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-06-15T21:52:57Z",
    "title_canon_sha256": "7d77c78d3d8b30ffc29ea3c759f6bfdc195fa80acde2132d84dbfb01d1c52198"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0106143",
    "kind": "arxiv",
    "version": 2
  }
}