Pith Number

pith:72Q3CNCB

pith:2021:72Q3CNCBZ6RNNJWVRCCKZWFHZU

not attested not anchored not stored refs pending

21-cm constraints on spinning primordial black holes

Junsong Cang, Yin-Zhe Ma, Yu Gao

arxiv:2108.13256 v2 · 2021-08-30 · astro-ph.CO · 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{72Q3CNCBZ6RNNJWVRCCKZWFHZU}

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

1 paper in Pith

Primordial black holes and the velocity acoustic oscillations features in 21 cm signals from the cosmic Dark Ages

Receipt and verification

First computed	2026-07-05T04:03:50.629476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea1b13441cfa2d6a6d58884acd8a7cd148f21ea2b84baf0fce62480ef822313

Aliases

arxiv: 2108.13256 · arxiv_version: 2108.13256v2 · doi: 10.48550/arxiv.2108.13256 · pith_short_12: 72Q3CNCBZ6RN · pith_short_16: 72Q3CNCBZ6RNNJWV · pith_short_8: 72Q3CNCB

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/72Q3CNCBZ6RNNJWVRCCKZWFHZU \
  | 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: fea1b13441cfa2d6a6d58884acd8a7cd148f21ea2b84baf0fce62480ef822313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98c18b5f6b126ced85b74ff9f4cd50d21fccc17e71b71ee9bb2e4e5d60219591",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-08-30T14:16:26Z",
    "title_canon_sha256": "de8bc8213944333a15488ad5f4e52204b36606b68b278db6667314e01a33ee7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.13256",
    "kind": "arxiv",
    "version": 2
  }
}