Pith Number

pith:52A5WEOL

pith:2013:52A5WEOLOWTXMKORDZXS5ROYIA

not attested not anchored not stored refs pending

Fast and accurate CMB computations in non-flat FLRW universes

Julien Lesgourgues, Thomas Tram

arxiv:1312.2697 v2 · 2013-12-10 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52A5WEOLOWTXMKORDZXS5ROYIA}

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

2 papers in Pith

Effects of primordial magnetic fields on 21 cm multifrequency angular power spectra

2020 Global reassessment of the neutrino oscillation picture

Receipt and verification

First computed	2026-05-18T01:45:52.254135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee81db11cb75a77629d11e6f2ec5d840321cb67cc2ebb87f315989bc3fc8fdd3

Aliases

arxiv: 1312.2697 · arxiv_version: 1312.2697v2 · doi: 10.48550/arxiv.1312.2697 · pith_short_12: 52A5WEOLOWTX · pith_short_16: 52A5WEOLOWTXMKOR · pith_short_8: 52A5WEOL

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/52A5WEOLOWTXMKORDZXS5ROYIA \
  | 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: ee81db11cb75a77629d11e6f2ec5d840321cb67cc2ebb87f315989bc3fc8fdd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54e804f5d9f32ad96847a21e212a4edba64926eeb581589bd3e7021d7b9eb339",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-10T08:01:35Z",
    "title_canon_sha256": "034fbd246ecc31bd18229a6e90d1c4dd848bd63023f49c4210c38c035866dca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2697",
    "kind": "arxiv",
    "version": 2
  }
}