Pith Number

pith:CZ3WDUNA

pith:1998:CZ3WDUNAPL3Y4TTG2JRLRKQD32

not attested not anchored not stored refs pending

Radiative Transfer in a Clumpy Universe: III. The Nature of Cosmological Ionizing Sources

Francesco Haardt, Martin J. Rees, Piero Madau

arxiv:astro-ph/9809058 v1 · 1998-09-04 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZ3WDUNAPL3Y4TTG2JRLRKQD32}

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

6 papers in Pith

Subaru meets JWST: A Direct Measurement of Ly$\boldsymbol{\alpha}$ Escape Fraction at $\boldsymbol{z\simeq6.2}$ with Dual Narrow-Band Imaging

A self-consistent analytical model for both the photoionization rate and reionization history

Tilting at the Turnover: Modeling the Faint-End of the UV Luminosity Function Behind Abell s1063 with JWST

A hidden reionization prior biases cosmological inference

Steep Redshift Evolution of the Ionizing Escape Fraction at $z = 5$--$12$: Empirical Constraints and Comparison with Simulations

Receipt and verification

First computed	2026-07-04T16:06:59.777428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167761d1a07af78e4e66d262b8aa03deb9e8539e50c499eb9ea51bff0b9f3f4c

Aliases

arxiv: astro-ph/9809058 · arxiv_version: astro-ph/9809058v1 · doi: 10.48550/arxiv.astro-ph/9809058 · pith_short_12: CZ3WDUNAPL3Y · pith_short_16: CZ3WDUNAPL3Y4TTG · pith_short_8: CZ3WDUNA

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/CZ3WDUNAPL3Y4TTG2JRLRKQD32 \
  | 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: 167761d1a07af78e4e66d262b8aa03deb9e8539e50c499eb9ea51bff0b9f3f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2a6bcfefebfaa3eca0e5af54c0a9b3f12bd6a355b46c93f181054794c9a52ac",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-09-04T20:40:02Z",
    "title_canon_sha256": "b10b1a9be50a71bd4aba88a253d29e202ab283ac044ea5718dacd9c57e3c909d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9809058",
    "kind": "arxiv",
    "version": 1
  }
}