Pith Number

pith:WO7MCBKN

pith:2022:WO7MCBKNTS3AXQ3ACRZQSFLQBG

not attested not anchored not stored refs pending

Model independent bounds for the number of $e$-folds during the evolution of the universe

A. M. Moran Colorado, G. German, R. Gonzalez Quaglia

arxiv:2212.03730 v2 · 2022-12-03 · gr-qc · astro-ph.CO · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WO7MCBKNTS3AXQ3ACRZQSFLQBG}

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

2 papers in Pith

Tachyonic Encore: A universal shift of inflationary observables

Reviving Motivated Inflationary Potentials with $K$-inflation in the light of ACT

Receipt and verification

First computed	2026-07-05T05:48:44.973364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3bec1054d9cb60bc360147309157009a5939a601759d3ffb5c5daf23df0d9bd

Aliases

arxiv: 2212.03730 · arxiv_version: 2212.03730v2 · doi: 10.48550/arxiv.2212.03730 · pith_short_12: WO7MCBKNTS3A · pith_short_16: WO7MCBKNTS3AXQ3A · pith_short_8: WO7MCBKN

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/WO7MCBKNTS3AXQ3ACRZQSFLQBG \
  | 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: b3bec1054d9cb60bc360147309157009a5939a601759d3ffb5c5daf23df0d9bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "716e142fd2be39511de5a66fc00ad9d802b5039a6be5f4d4919c01c5f6be0ff0",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-12-03T17:23:47Z",
    "title_canon_sha256": "3a60427eeb2ea338d264276068b7d42c8924f4d816c7a201591201e94d1cc763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.03730",
    "kind": "arxiv",
    "version": 2
  }
}