Pith Number

pith:VZN42ZZQ

pith:2009:VZN42ZZQYN7ZOZLL7KA4KHLEHZ

not attested not anchored not stored refs pending

Signals From the Epoch of Cosmological Recombination

J. Chluba, R.A. Sunyaev

arxiv:0908.0435 v1 · 2009-08-04 · 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{VZN42ZZQYN7ZOZLL7KA4KHLEHZ}

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

1 paper in Pith

Constraints on Primordial Black Holes

Receipt and verification

First computed	2026-05-18T02:12:44.850138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5bcd6730c37f97656bfa81c51d643e4d7d2e68ba761e79503ad5ef18243077

Aliases

arxiv: 0908.0435 · arxiv_version: 0908.0435v1 · doi: 10.48550/arxiv.0908.0435 · pith_short_12: VZN42ZZQYN7Z · pith_short_16: VZN42ZZQYN7ZOZLL · pith_short_8: VZN42ZZQ

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/VZN42ZZQYN7ZOZLL7KA4KHLEHZ \
  | 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: ae5bcd6730c37f97656bfa81c51d643e4d7d2e68ba761e79503ad5ef18243077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be103a6bfa37f6194de885644da358b76410efbbe96392fe29164393dc169389",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-08-04T13:41:52Z",
    "title_canon_sha256": "b74b4a467bcbeab06174729db6baafa788accf1378ede6378e2634cee44f5bef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0435",
    "kind": "arxiv",
    "version": 1
  }
}