Pith Number

pith:ULRYRVUY

pith:1998:ULRYRVUYIUSD3MTSMZ3TANBPL4

not attested not anchored not stored refs pending

Cosmic microwave background anisotropies in the CDM model: a covariant and gauge-invariant approach

Anthony Challinor, Anthony Lasenby

arxiv:astro-ph/9804301 v2 · 1998-04-28 · 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{ULRYRVUYIUSD3MTSMZ3TANBPL4}

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.

Cited by

1 paper in Pith

From inflation to hot big bang -- a tutorial on cosmological perturbations

Receipt and verification

First computed	2026-07-04T15:20:40.097521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e388d69845243db272667730342f5f0a5ffd2ab94253f0753104cc415ef57a

Aliases

arxiv: astro-ph/9804301 · arxiv_version: astro-ph/9804301v2 · doi: 10.48550/arxiv.astro-ph/9804301 · pith_short_12: ULRYRVUYIUSD · pith_short_16: ULRYRVUYIUSD3MTS · pith_short_8: ULRYRVUY

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/ULRYRVUYIUSD3MTSMZ3TANBPL4 \
  | 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: a2e388d69845243db272667730342f5f0a5ffd2ab94253f0753104cc415ef57a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e989b5f92aae9ad5145113ee4dc4febcbf50aaa0cc9c052e331225a455424ab8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-04-28T12:51:14Z",
    "title_canon_sha256": "f735bd66acf58acb7a7f4710880c0ef0ac9d7b33b5ce4f2c25fe0414246b9e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9804301",
    "kind": "arxiv",
    "version": 2
  }
}