Pith Number

pith:ERHGU3A5

pith:2026:ERHGU3A5Q2TXJHILPFBPMZ2QSZ

not attested not anchored not stored refs pending

The impact of Hawking radiation from primordial black holes on recombination and the Hubble tension

Adam Batten, Jeremy Mould

arxiv:2607.18528 v1 · 2026-07-20 · 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{ERHGU3A5Q2TXJHILPFBPMZ2QSZ}

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	2026-07-22T00:22:52.909419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

244e6a6c1d86a7749d0b7942f6675096447ff5a585675100c11056a9b9809b9f

Aliases

arxiv: 2607.18528 · arxiv_version: 2607.18528v1 · doi: 10.48550/arxiv.2607.18528 · pith_short_12: ERHGU3A5Q2TX · pith_short_16: ERHGU3A5Q2TXJHIL · pith_short_8: ERHGU3A5

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/ERHGU3A5Q2TXJHILPFBPMZ2QSZ \
  | 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: 244e6a6c1d86a7749d0b7942f6675096447ff5a585675100c11056a9b9809b9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "201352f5ec23fb0da9ed570e03f3014210125f07c07d758fd4d4ae46e9c3e85a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-20T21:42:51Z",
    "title_canon_sha256": "6aedd695a636859e937e5ad8d2a81cc5bf5779d47da1e48fd21e6bbf3808382b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18528",
    "kind": "arxiv",
    "version": 1
  }
}