Pith Number

pith:LZUPIP6W

pith:2000:LZUPIP6WGDAMJ5LERMXSSTKS25

not attested not anchored not stored refs pending

Multicolour Observations, Inhomogeneity & Evolution

Charles Hellaby

arxiv:astro-ph/0010641 v1 · 2000-10-31 · astro-ph · 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{LZUPIP6WGDAMJ5LERMXSSTKS25}

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	2026-05-18T04:21:42.467584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e68f43fd630c0c4f5648b2f294d52d7577838af6f154c4db713bb0b67e8d034

Aliases

arxiv: astro-ph/0010641 · arxiv_version: astro-ph/0010641v1 · doi: 10.48550/arxiv.astro-ph/0010641 · pith_short_12: LZUPIP6WGDAM · pith_short_16: LZUPIP6WGDAMJ5LE · pith_short_8: LZUPIP6W

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/LZUPIP6WGDAMJ5LERMXSSTKS25 \
  | 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: 5e68f43fd630c0c4f5648b2f294d52d7577838af6f154c4db713bb0b67e8d034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32380c2f273e0a0a9b728d2ec24d0ff0daf239853f06da7d411ee05135b00b08",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-10-31T14:14:06Z",
    "title_canon_sha256": "2c7a4b9e802ca41447c72ab074239b99e1191fd0bca9e82c987c1508ccfd7a3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0010641",
    "kind": "arxiv",
    "version": 1
  }
}