Pith Number

pith:YSGQYRR6

pith:2024:YSGQYRR6Y33GDDSS4ZM5CCFTXB

not attested not anchored not stored refs pending

Returning Back to Mukhanov Parametrization of Inflationary Equation of State

Barun Kumar Pal

arxiv:2412.16703 v2 · 2024-12-21 · gr-qc · astro-ph.CO · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSGQYRR6Y33GDDSS4ZM5CCFTXB}

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.

Cited by

1 paper in Pith

Returning Back to Mukhanov Parametrization of Inflationary Equation of State

Receipt and verification

First computed	2026-07-05T11:27:22.863301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c48d0c463ec6f6618e52e659d108b3b8515228bf28db00a374e1ac30eca586fd

Aliases

arxiv: 2412.16703 · arxiv_version: 2412.16703v2 · doi: 10.48550/arxiv.2412.16703 · pith_short_12: YSGQYRR6Y33G · pith_short_16: YSGQYRR6Y33GDDSS · pith_short_8: YSGQYRR6

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/YSGQYRR6Y33GDDSS4ZM5CCFTXB \
  | 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: c48d0c463ec6f6618e52e659d108b3b8515228bf28db00a374e1ac30eca586fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d304a6c88e476d58c9813711c393ef7cdcc96c0e46b598fce9b9fdd04cdadf1c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-21T17:02:17Z",
    "title_canon_sha256": "43f5d10c676c7aaa72989e435de0c33f1b0640e8b23e7bdac8131d8bdf189e97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16703",
    "kind": "arxiv",
    "version": 2
  }
}