Pith Number

pith:NWYVXOLU

pith:2021:NWYVXOLUNFK6CF2VARSUMITEVG

not attested not anchored not stored refs pending

Primordial black hole formation in $\alpha$-attractor models: an analysis using optimized peaks theory

Rafid Mahbub

arxiv:2103.15957 v2 · 2021-03-29 · 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{NWYVXOLUNFK6CF2VARSUMITEVG}

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	2026-07-05T03:04:49.095631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6db15bb9746955e117550465462264a9a6abb660a7034c161bc03ca51f326b5d

Aliases

arxiv: 2103.15957 · arxiv_version: 2103.15957v2 · doi: 10.48550/arxiv.2103.15957 · pith_short_12: NWYVXOLUNFK6 · pith_short_16: NWYVXOLUNFK6CF2V · pith_short_8: NWYVXOLU

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/NWYVXOLUNFK6CF2VARSUMITEVG \
  | 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: 6db15bb9746955e117550465462264a9a6abb660a7034c161bc03ca51f326b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37e9b598effcd14c05bd1b748b80afe9e71cb8cf93f3f265748045bac88e3d18",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-03-29T21:16:29Z",
    "title_canon_sha256": "77026bbaa7dafa0f0270f41092a967ed3f6bc3950d728d418fc499dc1515ad3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15957",
    "kind": "arxiv",
    "version": 2
  }
}