Pith Number

pith:4Z6LY63D

pith:1996:4Z6LY63DTZPRZGRP746IXWGTJL

not attested not anchored not stored refs pending

On the microwave background anisotropy produced by big voids in open universes

(2) Departament de Matem\`atica Aplicada, D. S\'aez (1) ((1) Departament d'Astronomia i Astrof\'isica, J.V. Arnau (2), M.J. Fullana (1), Spain, Spain), Universitat de Val\`encia

arxiv:astro-ph/9601154 v2 · 1996-01-26 · 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{4Z6LY63DTZPRZGRP746IXWGTJL}

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	2026-05-18T01:09:21.569972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67cbc7b639e5f1c9a2fff3c8bd8d34ae6825deefb2afcd0372d93e41492868f

Aliases

arxiv: astro-ph/9601154 · arxiv_version: astro-ph/9601154v2 · doi: 10.48550/arxiv.astro-ph/9601154 · pith_short_12: 4Z6LY63DTZPR · pith_short_16: 4Z6LY63DTZPRZGRP · pith_short_8: 4Z6LY63D

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/4Z6LY63DTZPRZGRP746IXWGTJL \
  | 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: e67cbc7b639e5f1c9a2fff3c8bd8d34ae6825deefb2afcd0372d93e41492868f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9627cc483f1e817a7f57364b8dc5d9baa01fca886071dc35a1b0d435acaf2ce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-01-26T18:30:31Z",
    "title_canon_sha256": "5192c28c55aa4dcad147b24cd5c33e50e5b9315b21f99c0a2df25ca42690b8f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9601154",
    "kind": "arxiv",
    "version": 2
  }
}