Pith Number

pith:7QRGJ2B4

pith:2022:7QRGJ2B45TIPKH43XRZM5KNXMZ

not attested not anchored not stored refs pending

Cosmological perturbations: non-cold relics without the Boltzmann hierarchy

Jose Luis Bernal, Lingyuan Ji, Marc Kamionkowski

arxiv:2201.11129 v1 · 2022-01-26 · 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{7QRGJ2B45TIPKH43XRZM5KNXMZ}

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	2026-07-05T05:25:00.597897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc2264e83cecd0f51f9bbc72cea9b76675aab0ff6eb47fc44ed8ced2c4ad8505

Aliases

arxiv: 2201.11129 · arxiv_version: 2201.11129v1 · doi: 10.48550/arxiv.2201.11129 · pith_short_12: 7QRGJ2B45TIP · pith_short_16: 7QRGJ2B45TIPKH43 · pith_short_8: 7QRGJ2B4

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/7QRGJ2B45TIPKH43XRZM5KNXMZ \
  | 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: fc2264e83cecd0f51f9bbc72cea9b76675aab0ff6eb47fc44ed8ced2c4ad8505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d0a77436949b22ad67922510ed6b8c5543923f5b628706648f29971b5ba5e14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-01-26T19:00:00Z",
    "title_canon_sha256": "78b0c3356956f0e6f9001b70b38e773235b93505b56b2c0b0803ec2c8b7b9ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.11129",
    "kind": "arxiv",
    "version": 1
  }
}