Pith Number

pith:7ZPL4WT2

pith:2026:7ZPL4WT2MRAYBFN3AZ3TKY2ZKD

not attested not anchored not stored refs pending

From inflation to hot big bang -- a tutorial on cosmological perturbations

Mikko Laine, Simona Procacci

arxiv:2607.06983 v1 · 2026-07-08 · hep-ph · 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{7ZPL4WT2MRAYBFN3AZ3TKY2ZKD}

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	2026-07-09T01:20:11.647250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe5ebe5a7a64418095bb067735635950c28b8667691ad7da925e69532e56dc8f

Aliases

arxiv: 2607.06983 · arxiv_version: 2607.06983v1 · doi: 10.48550/arxiv.2607.06983 · pith_short_12: 7ZPL4WT2MRAY · pith_short_16: 7ZPL4WT2MRAYBFN3 · pith_short_8: 7ZPL4WT2

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/7ZPL4WT2MRAYBFN3AZ3TKY2ZKD \
  | 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: fe5ebe5a7a64418095bb067735635950c28b8667691ad7da925e69532e56dc8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68a318a5e6891450a6a9e6bc57bbeb09ff15bd5dd7840f26d694adf415eeaed5",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-08T04:06:07Z",
    "title_canon_sha256": "4e1c824d8072bc8499a7a9981ee7faeac29a328a75f469f350ec13d86cf30a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06983",
    "kind": "arxiv",
    "version": 1
  }
}