Pith Number

pith:4HMF2V7J

pith:2023:4HMF2V7JRP2HS6JTX6NDDHZG3K

not attested not anchored not stored refs pending

Probing the Origin of Primordial Black Holes through Novel Gravitational Wave Spectrum

Indra Kumar Banerjee, Ujjal Kumar Dey

arxiv:2305.07569 v2 · 2023-05-12 · gr-qc · astro-ph.HE · 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{4HMF2V7JRP2HS6JTX6NDDHZG3K}

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

Primordial Black Holes from Slow Phase Transitions with Delayed Reheating: A Peak-Theory Approach

Reviving primordial black hole formation in slow first-order phase transitions

Receipt and verification

First computed	2026-07-05T06:30:31.098131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d85d57e98bf4797933bf9a319f26da93273b6cf5a5b3adc4d933d7e24c5bee

Aliases

arxiv: 2305.07569 · arxiv_version: 2305.07569v2 · doi: 10.48550/arxiv.2305.07569 · pith_short_12: 4HMF2V7JRP2H · pith_short_16: 4HMF2V7JRP2HS6JT · pith_short_8: 4HMF2V7J

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/4HMF2V7JRP2HS6JTX6NDDHZG3K \
  | 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: e1d85d57e98bf4797933bf9a319f26da93273b6cf5a5b3adc4d933d7e24c5bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "409ee939452904494b1dd1d24a51435a664754b5b4344c6781d25758c5da7835",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-05-12T15:56:23Z",
    "title_canon_sha256": "613e630e5b53140de6edca1b98edf00d4b5dafe7ceefcb947cdffb46cfd9c203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.07569",
    "kind": "arxiv",
    "version": 2
  }
}