Pith Number

pith:5W5F57KK

pith:2011:5W5F57KKMJRXAXVJRY7M5ZN64Z

not attested not anchored not stored refs pending

How important is the dark matter halo for black hole growth?

Kayhan Gultekin, Marta Volonteri, Priyamvada Natarajan

arxiv:1103.1644 v2 · 2011-03-08 · astro-ph.GA · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5W5F57KKMJRXAXVJRY7M5ZN64Z}

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	2026-05-18T02:02:56.206994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edba5efd4a6263705ea98e3ecee5bee6456d02ea9dfa7e049f37274810c6314f

Aliases

arxiv: 1103.1644 · arxiv_version: 1103.1644v2 · doi: 10.48550/arxiv.1103.1644 · pith_short_12: 5W5F57KKMJRX · pith_short_16: 5W5F57KKMJRXAXVJ · pith_short_8: 5W5F57KK

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/5W5F57KKMJRXAXVJRY7M5ZN64Z \
  | 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: edba5efd4a6263705ea98e3ecee5bee6456d02ea9dfa7e049f37274810c6314f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0897d2754eb1a6025ede9b4d7aa2028bd7ec0eb965adb0352103b5fba1d8a5f8",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2011-03-08T21:10:28Z",
    "title_canon_sha256": "5c2a32ffda12fa697e35d4725163ea13c486a41fd1a6eb16c021a7c70eb5173e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1644",
    "kind": "arxiv",
    "version": 2
  }
}