Pith. sign in
Pith Number

pith:F2PSHFHO

pith:2020:F2PSHFHO4MP3GDUFJLTGJSU3MP
not attested not anchored not stored refs pending

Merger rate density of Population III binary black holes below, above, and in the pair-instability mass gap

Alessandro A. Trani, Ataru Tanikawa, Hajime Susa, Takashi Yoshida, Tomoya Kinugawa

arxiv:2008.01890 v3 · 2020-08-05 · astro-ph.HE · astro-ph.SR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F2PSHFHO4MP3GDUFJLTGJSU3MP}

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 2026-07-05T02:26:49.461658Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2e9f2394eee31fb30e854ae664ca9b63ebd9662974f6265bf5134cdb5a8796a9

Aliases

arxiv: 2008.01890 · arxiv_version: 2008.01890v3 · doi: 10.48550/arxiv.2008.01890 · pith_short_12: F2PSHFHO4MP3 · pith_short_16: F2PSHFHO4MP3GDUF · pith_short_8: F2PSHFHO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F2PSHFHO4MP3GDUFJLTGJSU3MP \
  | 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: 2e9f2394eee31fb30e854ae664ca9b63ebd9662974f6265bf5134cdb5a8796a9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d7aa25144d32375afdb46f8f881e279a07938fe666d022ba0ab19d59b98d259d",
    "cross_cats_sorted": [
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2020-08-05T00:36:40Z",
    "title_canon_sha256": "5bc7ef25a1478edfc8182516f7a432648cca40834d17308733da3b01128a3d21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.01890",
    "kind": "arxiv",
    "version": 3
  }
}