Pith Number

pith:2JDB3LEV

pith:2010:2JDB3LEVSLFA572YI3T4V2G5S7

not attested not anchored not stored refs pending

CMB Polarization in Einstein-Aether Theory

Masahiro Nakashima, Tsutomu Kobayashi

arxiv:1012.5348 v1 · 2010-12-24 · astro-ph.CO · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JDB3LEVSLFA572YI3T4V2G5S7}

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	2026-05-18T04:32:35.054194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2461dac9592ca0eff5846e7cae8dd97c51f70ce3ecd99a1ecfe29c94b24dc1f

Aliases

arxiv: 1012.5348 · arxiv_version: 1012.5348v1 · doi: 10.48550/arxiv.1012.5348 · pith_short_12: 2JDB3LEVSLFA · pith_short_16: 2JDB3LEVSLFA572Y · pith_short_8: 2JDB3LEV

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/2JDB3LEVSLFA572YI3T4V2G5S7 \
  | 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: d2461dac9592ca0eff5846e7cae8dd97c51f70ce3ecd99a1ecfe29c94b24dc1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb1cad439d36a8fd5df9adbbe60c29a8433b86f9b130babc856b901db3ea5d0",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-12-24T06:56:34Z",
    "title_canon_sha256": "1afe3b7009f6bd8e6db192d46cad40814c5f8374b4d9f4116fcac70a67b20870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5348",
    "kind": "arxiv",
    "version": 1
  }
}