Pith Number

pith:NWFDOJ2T

pith:2012:NWFDOJ2TWSNLP6Q3LM74SZJJ4O

not attested not anchored not stored refs pending

Origin of the anti-hierarchical growth of black holes

Andreas Burkert, Michaela Hirschmann, Rachel S. Somerville, Thorsten Naab

arxiv:1206.6112 v2 · 2012-06-26 · 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{NWFDOJ2TWSNLP6Q3LM74SZJJ4O}

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	2026-05-18T01:56:41.497491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d8a372753b49ab7fa1b5b3fc96529e3856406747f72f0d86a9a17e85970382b

Aliases

arxiv: 1206.6112 · arxiv_version: 1206.6112v2 · doi: 10.48550/arxiv.1206.6112 · pith_short_12: NWFDOJ2TWSNL · pith_short_16: NWFDOJ2TWSNLP6Q3 · pith_short_8: NWFDOJ2T

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/NWFDOJ2TWSNLP6Q3LM74SZJJ4O \
  | 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: 6d8a372753b49ab7fa1b5b3fc96529e3856406747f72f0d86a9a17e85970382b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8078579528ae1a1c61d995f4ca5ed9042653108c7e7a8babcd71a25fcdfa370",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-26T20:02:03Z",
    "title_canon_sha256": "309478f04163e3551a3fb42fe2ef4608bae34dd947e450b8fccfac41f97fbbc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6112",
    "kind": "arxiv",
    "version": 2
  }
}