Pith Number

pith:45IHXKTR

pith:2007:45IHXKTR2HFDFWY2DK6E6POBPH

not attested not anchored not stored refs pending

The evolution of massive black hole seeds

G. Lodato, M. Volonteri, P. Natarajan

arxiv:0709.0529 v2 · 2007-09-04 · astro-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{45IHXKTR2HFDFWY2DK6E6POBPH}

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

2 papers in Pith

Environmental effects vs. modified gravity in the LISA massive black hole binary population

Waveform Modelling for the Laser Interferometer Space Antenna

Receipt and verification

First computed	2026-07-04T17:05:27.299104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7507baa71d1ca32db1a1abc4f3dc179d8646f3b6604a6350360d29943aad89d

Aliases

arxiv: 0709.0529 · arxiv_version: 0709.0529v2 · doi: 10.48550/arxiv.0709.0529 · pith_short_12: 45IHXKTR2HFD · pith_short_16: 45IHXKTR2HFDFWY2 · pith_short_8: 45IHXKTR

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/45IHXKTR2HFDFWY2DK6E6POBPH \
  | 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: e7507baa71d1ca32db1a1abc4f3dc179d8646f3b6604a6350360d29943aad89d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d6981fc67ba78d62dd0eb7e232a369fbe7923d5a658eb52bd81dba59632c45",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-09-04T20:14:10Z",
    "title_canon_sha256": "f4d5a4e32df61d3101eb1ec5c442918b5163e8b5b6735bc6b849e48e35a30fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0529",
    "kind": "arxiv",
    "version": 2
  }
}