Pith Number

pith:AKFTKDHP

pith:2012:AKFTKDHPS4WCQFAM4XL6M7QL4N

not attested not anchored not stored refs pending

Modelling supermassive black hole growth: towards an improved sub-grid prescription

Alexander Hobbs, Andrew King, Chris Power, Sergei Nayakshin

arxiv:1202.4725 v1 · 2012-02-21 · astro-ph.IM · 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{AKFTKDHPS4WCQFAM4XL6M7QL4N}

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	2026-05-18T01:58:22.742292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

028b350cef972c28140ce5d7e67e0be37fdf6f947c2072815b40833210487041

Aliases

arxiv: 1202.4725 · arxiv_version: 1202.4725v1 · doi: 10.48550/arxiv.1202.4725 · pith_short_12: AKFTKDHPS4WC · pith_short_16: AKFTKDHPS4WCQFAM · pith_short_8: AKFTKDHP

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/AKFTKDHPS4WCQFAM4XL6M7QL4N \
  | 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: 028b350cef972c28140ce5d7e67e0be37fdf6f947c2072815b40833210487041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6170b1a8182217737d290ae8b5b98db99bab0bca5b28c912bc0237e40e856551",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2012-02-21T18:44:39Z",
    "title_canon_sha256": "f717a917d599fdb1621fb080952b4da13a2a8ba535b97281985055084ad77e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4725",
    "kind": "arxiv",
    "version": 1
  }
}