Pith Number

pith:PTJENJ6B

pith:2021:PTJENJ6BYTYATF6AMHDY4FD7JT

not attested not anchored not stored refs pending

Can breakdown of perturbation in the $\alpha$-attractor inflation lead to PBH formation?

Arunoday Sarkar, Basundhara Ghosh, Buddhadeb Ghosh, Chitrak Sarkar

arxiv:2112.05408 v2 · 2021-12-10 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTJENJ6BYTYATF6AMHDY4FD7JT}

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	2026-07-05T04:02:21.407363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd246a7c1c4f00997c061c78e147f4cc349531b9228598df11be285e868fdf6

Aliases

arxiv: 2112.05408 · arxiv_version: 2112.05408v2 · doi: 10.48550/arxiv.2112.05408 · pith_short_12: PTJENJ6BYTYA · pith_short_16: PTJENJ6BYTYATF6A · pith_short_8: PTJENJ6B

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/PTJENJ6BYTYATF6AMHDY4FD7JT \
  | 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: 7cd246a7c1c4f00997c061c78e147f4cc349531b9228598df11be285e868fdf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "664a8e7795a0c752676481676764c0b33d8e22b8dcabdaf7626e528da63ff750",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-10T09:28:17Z",
    "title_canon_sha256": "fecf6c90137de416bf7241fd8433fd35d06a933df14740e3c7469d3927139972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05408",
    "kind": "arxiv",
    "version": 2
  }
}