Pith Number

pith:CZ3J76FA

pith:2021:CZ3J76FABY6332VHYBOG7WH5XH

not attested not anchored not stored refs pending

Lecture notes on inflation and primordial black holes

Christian T. Byrnes, Philippa S. Cole

arxiv:2112.05716 v1 · 2021-12-10 · 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{CZ3J76FABY6332VHYBOG7WH5XH}

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

3 papers in Pith

Multi-peaked high-frequency gravitational waves from PBH-assisted leptogenesis

Non-Perturbative Hamiltonian and Higher Loop Corrections in USR Inflation

Hamiltonians to all Orders in Perturbation Theory and Higher Loop Corrections in Single Field Inflation with PBHs Formation

Receipt and verification

First computed	2026-07-05T03:39:51.086890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16769ff8a00e3dbdeaa7c05c6fd8fdb9cecf9a3b3407b10c6de7b504ad123654

Aliases

arxiv: 2112.05716 · arxiv_version: 2112.05716v1 · doi: 10.48550/arxiv.2112.05716 · pith_short_12: CZ3J76FABY63 · pith_short_16: CZ3J76FABY6332VH · pith_short_8: CZ3J76FA

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/CZ3J76FABY6332VHYBOG7WH5XH \
  | 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: 16769ff8a00e3dbdeaa7c05c6fd8fdb9cecf9a3b3407b10c6de7b504ad123654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d85b060d15a8908bcc6bd85173f764b249ac9f2c2e6cb28b6eb357eb40c3e9a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-12-10T18:15:42Z",
    "title_canon_sha256": "91181a283c93c3c30248b9932ea976573ebbf09368c18bd989e8c82edb25b977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05716",
    "kind": "arxiv",
    "version": 1
  }
}