Pith Number

pith:7F45CZ4T

pith:2021:7F45CZ4T6NCNQT24GP5MSSIJLJ

not attested not anchored not stored refs pending

A Python compressed low-$\ell$ Planck likelihood for temperature and polarization

Heather Prince, Jo Dunkley

arxiv:2104.05715 v1 · 2021-04-12 · 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{7F45CZ4T6NCNQT24GP5MSSIJLJ}

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

What it takes to solve the Hubble tension through Modifications of Cosmological Recombination II: in light of ACT DR6 and DESI DR2

Compressed Gaussian likelihood for the Planck low-$\ell$ data

Receipt and verification

First computed	2026-07-05T02:31:24.358102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f979d16793f344d84f5c33fac949095a6d94d845aebc73ad8390c1803611fbbb

Aliases

arxiv: 2104.05715 · arxiv_version: 2104.05715v1 · doi: 10.48550/arxiv.2104.05715 · pith_short_12: 7F45CZ4T6NCN · pith_short_16: 7F45CZ4T6NCNQT24 · pith_short_8: 7F45CZ4T

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/7F45CZ4T6NCNQT24GP5MSSIJLJ \
  | 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: f979d16793f344d84f5c33fac949095a6d94d845aebc73ad8390c1803611fbbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ae5d3d38d8fcd3feaf6ac7ee18a0b77a7abbac7d77da5fd4a2b3b5c45e8079",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-04-12T18:00:00Z",
    "title_canon_sha256": "20713b8aa0ec9bb7d2b82206511472a894c198d4e0417b55c98b95a013426694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.05715",
    "kind": "arxiv",
    "version": 1
  }
}