Pith Number

pith:DL5FM6CS

pith:2011:DL5FM6CSXUUT5OEQKEVYHFAJZB

not attested not anchored not stored refs pending

The mass function of black holes at 1<z<4.5: comparison of models with observations

Marta Volonteri, Priyamvada Natarajan

arxiv:1107.4916 v3 · 2011-07-25 · astro-ph.CO · 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{DL5FM6CSXUUT5OEQKEVYHFAJZB}

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	2026-05-18T02:01:10.577123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1afa567852bd293eb890512b839409c851824a1f1e3433ea90e5f24fe41a4e5f

Aliases

arxiv: 1107.4916 · arxiv_version: 1107.4916v3 · doi: 10.48550/arxiv.1107.4916 · pith_short_12: DL5FM6CSXUUT · pith_short_16: DL5FM6CSXUUT5OEQ · pith_short_8: DL5FM6CS

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/DL5FM6CSXUUT5OEQKEVYHFAJZB \
  | 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: 1afa567852bd293eb890512b839409c851824a1f1e3433ea90e5f24fe41a4e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82183ef48fd53136126fa9dca47eddd0b68a726c24bc2441e9d7fd30d9a99106",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-07-25T12:24:00Z",
    "title_canon_sha256": "870ea6c464008e2c9cd93c929acfa52aa27b08d919e9b879cc40177a7f1fa61f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4916",
    "kind": "arxiv",
    "version": 3
  }
}