Pith Number

pith:QAFD72YH

pith:2021:QAFD72YH5UDJRZFSB62BM3RBAX

not attested not anchored not stored refs pending

Thermodynamics to infer the astrophysics of binary black hole mergers

Gregorio Carullo, Karan Jani, Kelly Holley-Bockelmann, Patrick Hu

arxiv:2112.06856 v1 · 2021-12-13 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAFD72YH5UDJRZFSB62BM3RBAX}

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	2026-07-05T03:40:17.630765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

800a3feb07ed0698e4b20fb4166e2105f772513baeabb2dda7a5dddc44cb3b88

Aliases

arxiv: 2112.06856 · arxiv_version: 2112.06856v1 · doi: 10.48550/arxiv.2112.06856 · pith_short_12: QAFD72YH5UDJ · pith_short_16: QAFD72YH5UDJRZFS · pith_short_8: QAFD72YH

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/QAFD72YH5UDJRZFSB62BM3RBAX \
  | 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: 800a3feb07ed0698e4b20fb4166e2105f772513baeabb2dda7a5dddc44cb3b88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "567c96871c27ccdfbb33d7e420bf5205328c224acec15553e1d3982e9778e3b2",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-13T18:12:19Z",
    "title_canon_sha256": "fd45456ec0fb82665ac0097ab885c256df89f8586d0844504e22dc35b97e7089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06856",
    "kind": "arxiv",
    "version": 1
  }
}