Pith Number

pith:GRGKFPWE

pith:2011:GRGKFPWECTLWVHIWIHCVWAAXYW

not attested not anchored not stored refs pending

The Relation between Black Hole Mass and Host Spheroid Stellar Mass out to z~2

Jong-Hak Woo, Matthew A. Malkan, Matthew W. Auger, Tommaso Treu, Vardha N. Bennert

arxiv:1102.1975 v2 · 2011-02-09 · 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{GRGKFPWECTLWVHIWIHCVWAAXYW}

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	2026-05-18T02:03:14.678000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344ca2bec414d76a9d1641c55b0017c58e77581b076a6b651d5435a0b09b33aa

Aliases

arxiv: 1102.1975 · arxiv_version: 1102.1975v2 · doi: 10.48550/arxiv.1102.1975 · pith_short_12: GRGKFPWECTLW · pith_short_16: GRGKFPWECTLWVHIW · pith_short_8: GRGKFPWE

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/GRGKFPWECTLWVHIWIHCVWAAXYW \
  | 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: 344ca2bec414d76a9d1641c55b0017c58e77581b076a6b651d5435a0b09b33aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd15ae4942a5d6c68ac551a845340fdf2faa6032736829137b1fbc796325daed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-02-09T21:00:01Z",
    "title_canon_sha256": "1a553ca6f4c76eb484db204bbf23e262fa88ae85aead8bdc569c51e60acdf0c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1975",
    "kind": "arxiv",
    "version": 2
  }
}