Pith Number

pith:C6U5EMLK

pith:2008:C6U5EMLKVPUARTLL6RKRXWUVPF

not attested not anchored not stored refs pending

Two-photon transitions in primordial hydrogen recombination

Christopher M. Hirata

arxiv:0803.0808 v2 · 2008-03-06 · 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{C6U5EMLKVPUARTLL6RKRXWUVPF}

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

Atomic Dark Matter, Interacting Dark Radiation, and the Hubble Tension

Receipt and verification

First computed	2026-07-04T15:28:13.846342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17a9d2316aabe808cd6bf4551bda95797e1f1ca677a0cee53b50752fa27bb76b

Aliases

arxiv: 0803.0808 · arxiv_version: 0803.0808v2 · doi: 10.48550/arxiv.0803.0808 · pith_short_12: C6U5EMLKVPUA · pith_short_16: C6U5EMLKVPUARTLL · pith_short_8: C6U5EMLK

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/C6U5EMLKVPUARTLL6RKRXWUVPF \
  | 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: 17a9d2316aabe808cd6bf4551bda95797e1f1ca677a0cee53b50752fa27bb76b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17941d0c6cd39eb4fd3439cf3aaafa3dde720dc5a6eb983a559c8b281b88b417",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-03-06T16:54:44Z",
    "title_canon_sha256": "a7592dea58839b947e098efbee280fd68f88b21b94ddb7dcc2e00d6de0768a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0808",
    "kind": "arxiv",
    "version": 2
  }
}