Pith Number

pith:DGC6TI4G

pith:2006:DGC6TI4GOA3R7ZWKTMJKU4GEXF

not attested not anchored not stored refs pending

The effect of forbidden transitions on cosmological hydrogen and helium recombination

Douglas Scott, Wan Yan Wong

arxiv:astro-ph/0610691 v2 · 2006-10-23 · 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{DGC6TI4GOA3R7ZWKTMJKU4GEXF}

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	2026-07-04T15:16:57.535827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1985e9a38670371fe6ca9b12aa70c4b97697affea4085eec53089063cab507ef

Aliases

arxiv: astro-ph/0610691 · arxiv_version: astro-ph/0610691v2 · doi: 10.48550/arxiv.astro-ph/0610691 · pith_short_12: DGC6TI4GOA3R · pith_short_16: DGC6TI4GOA3R7ZWK · pith_short_8: DGC6TI4G

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/DGC6TI4GOA3R7ZWKTMJKU4GEXF \
  | 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: 1985e9a38670371fe6ca9b12aa70c4b97697affea4085eec53089063cab507ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb656c450a62ee2466faea1082474b9c7147b5f1919fce6f4b55ef10743a7bf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-10-23T21:21:06Z",
    "title_canon_sha256": "db42978434c4a88e3d0b5db23ef6faab996032e30f853b63d1327522bf310902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0610691",
    "kind": "arxiv",
    "version": 2
  }
}