Pith Number

pith:2WD7X6XM

pith:2011:2WD7X6XMTCXVNOHGUI5UFGG5FL

not attested not anchored not stored refs pending

Long-term evolution of massive black hole binaries. IV. Mergers of galaxies with collisionally relaxed nuclei

Alessia Gualandris, David Merritt

arxiv:1107.4095 v2 · 2011-07-20 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WD7X6XMTCXVNOHGUI5UFGG5FL}

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	2026-05-18T02:01:13.999147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d587fbfaec98af56b8e6a23b4298dd2af80d1b8182f9c1cbef20869786e07b3a

Aliases

arxiv: 1107.4095 · arxiv_version: 1107.4095v2 · doi: 10.48550/arxiv.1107.4095 · pith_short_12: 2WD7X6XMTCXV · pith_short_16: 2WD7X6XMTCXVNOHG · pith_short_8: 2WD7X6XM

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/2WD7X6XMTCXVNOHGUI5UFGG5FL \
  | 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: d587fbfaec98af56b8e6a23b4298dd2af80d1b8182f9c1cbef20869786e07b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69bb38150e331c19d19b611a73b9958aac1095109acd8115ab59a16825403e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2011-07-20T20:00:02Z",
    "title_canon_sha256": "d09e304717faf525ee4efd26271ff8b2dad1ce503fdf338acbfbacabf1a7a821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4095",
    "kind": "arxiv",
    "version": 2
  }
}