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Pith Number

pith:YTI4EC2C

pith:2009:YTI4EC2CHRI6MCBOBSSNXR5UHS
not attested not anchored not stored refs pending

Wouthuysen-Field Coupling in the 21 cm Region Around High Redshift Sources

C. W. Shu, I. Roy, J. M. Qiu, L. Z. Fang, W. Xu

arxiv:0908.1695 v1 · 2009-08-12 · astro-ph.CO · astro-ph.EP · astro-ph.GA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YTI4EC2CHRI6MCBOBSSNXR5UHS}

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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 2026-05-18T02:12:35.038134Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c4d1c20b423c51e6082e0ca4dbc7b43c99b69e0a329326622de5b6896cdbab8d

Aliases

arxiv: 0908.1695 · arxiv_version: 0908.1695v1 · doi: 10.48550/arxiv.0908.1695 · pith_short_12: YTI4EC2CHRI6 · pith_short_16: YTI4EC2CHRI6MCBO · pith_short_8: YTI4EC2C
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YTI4EC2CHRI6MCBOBSSNXR5UHS \
  | 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: c4d1c20b423c51e6082e0ca4dbc7b43c99b69e0a329326622de5b6896cdbab8d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7f0e3a22c35237c1f996a81c3fb559254492ca55febcfe566633f97d708892f4",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-08-12T12:37:49Z",
    "title_canon_sha256": "5742484d157b6b7e6592cc0a8265af2576f2e3624afdd059dec88ea3ffbd5ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1695",
    "kind": "arxiv",
    "version": 1
  }
}