Pith Number

pith:7ZM4JPRJ

pith:2020:7ZM4JPRJAGPGWAE3SFPRR7LZ7X

not attested not anchored not stored refs pending

Distant foreground and the Planck-derived Hubble constant

A.A. Raikov, E.A. Popova, N.P.M. Kuin, N.Yu. Lovyagin, V.N. Yershov

arxiv:2001.09152 v2 · 2020-01-24 · 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{7ZM4JPRJAGPGWAE3SFPRR7LZ7X}

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	2026-07-05T00:43:57.903838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe59c4be29019e6b009b915f18fd79fdf707ac4f2b1f62c1e1dc754472e28878

Aliases

arxiv: 2001.09152 · arxiv_version: 2001.09152v2 · doi: 10.48550/arxiv.2001.09152 · pith_short_12: 7ZM4JPRJAGPG · pith_short_16: 7ZM4JPRJAGPGWAE3 · pith_short_8: 7ZM4JPRJ

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/7ZM4JPRJAGPGWAE3SFPRR7LZ7X \
  | 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: fe59c4be29019e6b009b915f18fd79fdf707ac4f2b1f62c1e1dc754472e28878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41f7562c4368304784779b5905042428e6eaa02482388890d2a06d6f2a133ee3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-01-24T11:18:48Z",
    "title_canon_sha256": "64e15022dabb93caf6e8b15e23de53589e45e6a1b54718e4c7d9b841c1071dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.09152",
    "kind": "arxiv",
    "version": 2
  }
}