Pith Number

pith:E6CLBWSL

pith:1999:E6CLBWSLT2XKWK4YIEIBZWAW6F

not attested not anchored not stored refs pending

What is the Homogeneity of our Universe Telling Us?

Mark Trodden, Tanmay Vachaspati

arxiv:gr-qc/9905091 v1 · 1999-05-24 · gr-qc · astro-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{E6CLBWSLT2XKWK4YIEIBZWAW6F}

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	2026-07-04T16:13:51.426957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2784b0da4b9eaeab2b9841101cd816f172f7ddadcfb54974cd9ddd5160ac4e40

Aliases

arxiv: gr-qc/9905091 · arxiv_version: gr-qc/9905091v1 · doi: 10.48550/arxiv.gr-qc/9905091 · pith_short_12: E6CLBWSLT2XK · pith_short_16: E6CLBWSLT2XKWK4Y · pith_short_8: E6CLBWSL

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/E6CLBWSLT2XKWK4YIEIBZWAW6F \
  | 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: 2784b0da4b9eaeab2b9841101cd816f172f7ddadcfb54974cd9ddd5160ac4e40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4ae1cfc59436d5a82bfa0188853d7e7796602f8be8f085a9de94283894423d6",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-05-24T16:27:44Z",
    "title_canon_sha256": "33292e042c6fc66eafc3d0e2c2dc3162390036254c86bc204752acdd4bfc7168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9905091",
    "kind": "arxiv",
    "version": 1
  }
}