Pith Number

pith:B4AJJCEV

pith:2009:B4AJJCEVSSFWLADZRP3LGZG4UN

not attested not anchored not stored refs pending

Spacetime variation of $\alpha$ and the CMB power spectra after the recombination

Mingzhe Li, Xiulian Wang

arxiv:0904.1061 v2 · 2009-04-07 · astro-ph.CO · gr-qc · hep-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{B4AJJCEVSSFWLADZRP3LGZG4UN}

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	2026-05-18T04:31:22.753680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f00948895948b6580798bf6b364dca3614575e269c4bf0915ad0bbb9710f3c4

Aliases

arxiv: 0904.1061 · arxiv_version: 0904.1061v2 · doi: 10.48550/arxiv.0904.1061 · pith_short_12: B4AJJCEVSSFW · pith_short_16: B4AJJCEVSSFWLADZ · pith_short_8: B4AJJCEV

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/B4AJJCEVSSFWLADZRP3LGZG4UN \
  | 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: 0f00948895948b6580798bf6b364dca3614575e269c4bf0915ad0bbb9710f3c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b23fd067c91a7949e80af2e505375742daf6c5165a59f9e189cd77708c1a9527",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-04-07T06:33:59Z",
    "title_canon_sha256": "bc418951f4b688cdceac4482b6a372bf2276cc656afa6826ddad157224e85b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1061",
    "kind": "arxiv",
    "version": 2
  }
}