Pith Number

pith:5TTUMD2N

pith:2004:5TTUMD2NKUF4A53CCN6NG7RMKB

not attested not anchored not stored refs pending

Spin, Accretion and the Cosmological Growth of Supermassive Black Holes

Stuart L. Shapiro

arxiv:astro-ph/0411156 v1 · 2004-11-05 · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TTUMD2NKUF4A53CCN6NG7RMKB}

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.

Cited by

1 paper in Pith

Identifying Observational Signatures of Flux Eruption Events in Supermassive Black Hole Accretion Flows with Machine Learning

Receipt and verification

First computed	2026-07-04T16:45:07.846360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece7460f4d550bc07762137cd37e2c505fae5d4db31a063e196441cb946269b1

Aliases

arxiv: astro-ph/0411156 · arxiv_version: astro-ph/0411156v1 · doi: 10.48550/arxiv.astro-ph/0411156 · pith_short_12: 5TTUMD2NKUF4 · pith_short_16: 5TTUMD2NKUF4A53C · pith_short_8: 5TTUMD2N

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/5TTUMD2NKUF4A53CCN6NG7RMKB \
  | 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: ece7460f4d550bc07762137cd37e2c505fae5d4db31a063e196441cb946269b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb6c3b243657535a9c6f2cc217d860f8e558b2a2276a319670b2543dd827b3b2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-11-05T21:11:14Z",
    "title_canon_sha256": "7f38a6bac752e6f28ff2c4632edb2ec2b14726e672bdf2f003d0360d3cdb5a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0411156",
    "kind": "arxiv",
    "version": 1
  }
}