Pith Number

pith:AUKD46VK

pith:2012:AUKD46VK3JS7OZNEOZPOQ375DD

not attested not anchored not stored refs pending

Analytic Spectra of CMB Anisotropies and Polarization Generated by Scalar Perturbations in Synchronous Gauge

Yang Zhang, Zheng Cai

arxiv:1204.6683 v1 · 2012-04-30 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUKD46VK3JS7OZNEOZPOQ375DD}

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	2026-05-18T01:57:42.271721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05143e7aaada65f765a4765ee86ffd18cd76b3781befb503996eaac6865863c3

Aliases

arxiv: 1204.6683 · arxiv_version: 1204.6683v1 · doi: 10.48550/arxiv.1204.6683 · pith_short_12: AUKD46VK3JS7 · pith_short_16: AUKD46VK3JS7OZNE · pith_short_8: AUKD46VK

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/AUKD46VK3JS7OZNEOZPOQ375DD \
  | 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: 05143e7aaada65f765a4765ee86ffd18cd76b3781befb503996eaac6865863c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8b86591772baa4ef6fd571a9327b994411df8dc190530879ed49c809c40f0c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-04-30T16:11:53Z",
    "title_canon_sha256": "cfba0a41fe7cd483fbdc8373f38e1cf9ebd1a9132b132a5a41934bc80fe91bd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6683",
    "kind": "arxiv",
    "version": 1
  }
}