Pith Number

pith:E42FJLU3

pith:2020:E42FJLU3BP6TCRE3LAQRMOCZ4E

not attested not anchored not stored refs pending

Recombination-independent determination of the sound horizon and the Hubble constant from BAO

Gong-Bo Zhao, Karsten Jedamzik, Levon Pogosian

arxiv:2009.08455 v2 · 2020-09-17 · 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{E42FJLU3BP6TCRE3LAQRMOCZ4E}

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	2026-07-05T01:54:31.035221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

273454ae9b0bfd31449b5821163859e103f070a0e795bbe1abaed5c34d4aad9b

Aliases

arxiv: 2009.08455 · arxiv_version: 2009.08455v2 · doi: 10.48550/arxiv.2009.08455 · pith_short_12: E42FJLU3BP6T · pith_short_16: E42FJLU3BP6TCRE3 · pith_short_8: E42FJLU3

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/E42FJLU3BP6TCRE3LAQRMOCZ4E \
  | 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: 273454ae9b0bfd31449b5821163859e103f070a0e795bbe1abaed5c34d4aad9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f98f76c8daac081033aa7e3e7193ba27d3c275658b8fc2ee515581a785e94a27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-09-17T17:59:46Z",
    "title_canon_sha256": "1bfe00cfadfe72b4ad8002cde3bbfcad95ed987edfda8d6bebd09bb0c61f07b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.08455",
    "kind": "arxiv",
    "version": 2
  }
}