Pith Number

pith:2ZI23FHQ

pith:2000:2ZI23FHQWYSMFE5XF5AWGODLOW

not attested not anchored not stored refs pending

Can our Universe be inhomogeneous on large sub-horizon scales ?

Cambridge), C.J.A.P. Martins (DAMTP, CMS, J.C.R.E. Oliveira (CAUP, J.P.M. de Carvalho (CAUP, Porto), P.P. Avelino

arxiv:astro-ph/0004227 v3 · 2000-04-17 · 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{2ZI23FHQWYSMFE5XF5AWGODLOW}

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	2026-05-18T02:40:36.830485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d651ad94f0b624c293b72f4163386b758f3ff069d9e9895672a890d6ca78e420

Aliases

arxiv: astro-ph/0004227 · arxiv_version: astro-ph/0004227v3 · doi: 10.48550/arxiv.astro-ph/0004227 · pith_short_12: 2ZI23FHQWYSM · pith_short_16: 2ZI23FHQWYSMFE5X · pith_short_8: 2ZI23FHQ

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/2ZI23FHQWYSMFE5XF5AWGODLOW \
  | 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: d651ad94f0b624c293b72f4163386b758f3ff069d9e9895672a890d6ca78e420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "937f7df0e1147c609b499e3262312e96f5d7ac0e43bf01f06fe1e78882c87e36",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-04-17T16:06:50Z",
    "title_canon_sha256": "d2d8992cd79bc88da1e6812c454bf0419844efe54d9f25720bab8321c566bc5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0004227",
    "kind": "arxiv",
    "version": 3
  }
}