Pith Number

pith:7JRZXPID

pith:2011:7JRZXPIDRMAD6NHJUCJKJGXLSH

not attested not anchored not stored refs pending

An analytic approach to perturbations from an initially anisotropic universe

Hyeong-Chan Kim, Masato Minamitsuji

arxiv:1101.0329 v2 · 2011-01-01 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JRZXPIDRMAD6NHJUCJKJGXLSH}

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	2026-05-18T04:25:48.751832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa639bbd038b003f34e9a092a49aeb91e6fffbddc9cbd7d4cd419be1bfbe6a33

Aliases

arxiv: 1101.0329 · arxiv_version: 1101.0329v2 · doi: 10.48550/arxiv.1101.0329 · pith_short_12: 7JRZXPIDRMAD · pith_short_16: 7JRZXPIDRMAD6NHJ · pith_short_8: 7JRZXPID

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/7JRZXPIDRMAD6NHJUCJKJGXLSH \
  | 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: fa639bbd038b003f34e9a092a49aeb91e6fffbddc9cbd7d4cd419be1bfbe6a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "151ed9fd3450835c2ad2da562bd547a4c19576fa28127264c483f92e86427dac",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-01T09:43:29Z",
    "title_canon_sha256": "ab1a47487b3840d414069c73afac265b3828b1f7ef94d503c9e66c1d18b92ef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0329",
    "kind": "arxiv",
    "version": 2
  }
}