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Pith Number

pith:4ECLH2Y7

pith:2011:4ECLH2Y7MADH7QRS2YRIHCYMLT
not attested not anchored not stored refs pending

Primordial magnetic fields generated by the non-adiabatic fluctuations at pre-recombination era

Keitaro Takahashi, Kiyotomo Ichiki, Satoshi Maeda

arxiv:1109.0691 v2 · 2011-09-04 · astro-ph.CO · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4ECLH2Y7MADH7QRS2YRIHCYMLT}

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 2026-05-18T02:00:40.276802Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e104b3eb1f60067fc232d622838b0c5cd9c552f130c4e71f2e626aa2b87209af

Aliases

arxiv: 1109.0691 · arxiv_version: 1109.0691v2 · doi: 10.48550/arxiv.1109.0691 · pith_short_12: 4ECLH2Y7MADH · pith_short_16: 4ECLH2Y7MADH7QRS · pith_short_8: 4ECLH2Y7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ECLH2Y7MADH7QRS2YRIHCYMLT \
  | 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: e104b3eb1f60067fc232d622838b0c5cd9c552f130c4e71f2e626aa2b87209af
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ca9ffe614d29bb682d07c82f80d47d6c60d48dcfcc544dd63316f5cf0c873c4c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-04T10:26:11Z",
    "title_canon_sha256": "662dc6bf273e14dc920b60d158cc03c7c00d6b51b38731235dc71a5ea6ef080a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0691",
    "kind": "arxiv",
    "version": 2
  }
}