Pith Number

pith:Z5OEDRYW

pith:1999:Z5OEDRYW4XVFWH3TRJ2THIOYLP

not attested not anchored not stored refs pending

Efficient Computation of CMB anisotropies in closed FRW models

Anthony Challinor, Anthony Lasenby, Antony Lewis

arxiv:astro-ph/9911177 v2 · 1999-11-10 · 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{Z5OEDRYW4XVFWH3TRJ2THIOYLP}

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

85 papers in Pith

Impact and measurability of linear relativistic effects in galaxy surveys

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

CMB Lensing Reconstruction Using Two Years of Temperature Data from the SPT-3G Summer Survey

A cross-epoch endpoint-consistency test of a single effective scaling from dark energy to inflation

The swallowed spike: the formation of light primordial black hole structures around heavy seeds

Receipt and verification

First computed	2026-07-04T15:23:02.580488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5c41c716e5ea5b1f738a7533a1d85bf04859b6ddd0188b57b4a3cc23d160d9

Aliases

arxiv: astro-ph/9911177 · arxiv_version: astro-ph/9911177v2 · doi: 10.48550/arxiv.astro-ph/9911177 · pith_short_12: Z5OEDRYW4XVF · pith_short_16: Z5OEDRYW4XVFWH3T · pith_short_8: Z5OEDRYW

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/Z5OEDRYW4XVFWH3TRJ2THIOYLP \
  | 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: cf5c41c716e5ea5b1f738a7533a1d85bf04859b6ddd0188b57b4a3cc23d160d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51f05df9e581df27df59968a30506878215db2747adaec5bc80166678d3e87d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-11-10T17:57:36Z",
    "title_canon_sha256": "8b33981d0f06fddfa092dc9058b1a84b58683f8ac3996c296e1119f95c766ffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9911177",
    "kind": "arxiv",
    "version": 2
  }
}