Pith Number

pith:4HMGJNH5

pith:2026:4HMGJNH5H65HO2QQCPCTH3TSAA

not attested not anchored not stored refs pending

Evidence for additional structure in the effective spin distribution hints at multiple formation pathways in GWTC-5.0

Jack Heinzel, Salvatore Vitale, Sofia Alvarez-Lopez

arxiv:2606.12205 v1 · 2026-06-10 · astro-ph.HE · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HMGJNH5H65HO2QQCPCTH3TSAA}

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

When the black holes align: a subpopulation of aligned massive binary black holes observed via gravitational waves

Receipt and verification

First computed	2026-06-11T01:10:54.218272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d864b4fd3fba776a1013c533ee72003db44629805286053c9b53b0d9f541ac

Aliases

arxiv: 2606.12205 · arxiv_version: 2606.12205v1 · doi: 10.48550/arxiv.2606.12205 · pith_short_12: 4HMGJNH5H65H · pith_short_16: 4HMGJNH5H65HO2QQ · pith_short_8: 4HMGJNH5

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/4HMGJNH5H65HO2QQCPCTH3TSAA \
  | 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: e1d864b4fd3fba776a1013c533ee72003db44629805286053c9b53b0d9f541ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da9f6171ed9bb70e1af837b6b20776614b3254ef196e78c6b614706f30da23e2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2026-06-10T15:21:46Z",
    "title_canon_sha256": "e7c6a0f16aa7ec6a05623dd980f411876b477677c5892dd169d163a5e8e8eeee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12205",
    "kind": "arxiv",
    "version": 1
  }
}