Pith Number

pith:HPP2OI4J

pith:2005:HPP2OI4JT36KB7FR64XYM65RFU

not attested not anchored not stored refs pending

The Effect of Gravitational Recoil on Black Holes Forming in a Hierarchical Universe

C. S. Frenk, J. C. Helly, N. I. Libeskind, S. Cole

arxiv:astro-ph/0512073 v1 · 2005-12-02 · 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{HPP2OI4JT36KB7FR64XYM65RFU}

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	2026-07-04T16:53:07.240180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bdfa723899efca0fcb1f72f867bb12d1d9c8e98ce3f92c0e939d97da8336123

Aliases

arxiv: astro-ph/0512073 · arxiv_version: astro-ph/0512073v1 · doi: 10.48550/arxiv.astro-ph/0512073 · pith_short_12: HPP2OI4JT36K · pith_short_16: HPP2OI4JT36KB7FR · pith_short_8: HPP2OI4J

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/HPP2OI4JT36KB7FR64XYM65RFU \
  | 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: 3bdfa723899efca0fcb1f72f867bb12d1d9c8e98ce3f92c0e939d97da8336123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edba5a193eafb3bd06f37dcd380dc9206a3175cf3cddf4acff66e34041a4f0a4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-12-02T21:46:44Z",
    "title_canon_sha256": "ebb50ad35abfff36d54f9c4014a3509f8e7d62406459e15fcf24a6135f446a65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0512073",
    "kind": "arxiv",
    "version": 1
  }
}