Pith Number

pith:Z4XXIX3Y

pith:2015:Z4XXIX3YCSEBA7HYRYL6ZL53AD

not attested not anchored not stored refs pending

The M-sigma Relation of Super Massive Black Holes from the Scalar Field Dark Matter

Hyeong-Chan Kim, Jae-Weon Lee, Jungjai Lee

arxiv:1512.02351 v1 · 2015-12-08 · astro-ph.CO · astro-ph.GA · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4XXIX3YCSEBA7HYRYL6ZL53AD}

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	2026-07-05T01:20:44.327777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2f745f781488107cf88e17ecafbb00de6d0b3e8af2a367cfe4f6da2f029e5f

Aliases

arxiv: 1512.02351 · arxiv_version: 1512.02351v1 · doi: 10.48550/arxiv.1512.02351 · pith_short_12: Z4XXIX3YCSEB · pith_short_16: Z4XXIX3YCSEBA7HY · pith_short_8: Z4XXIX3Y

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/Z4XXIX3YCSEBA7HYRYL6ZL53AD \
  | 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: cf2f745f781488107cf88e17ecafbb00de6d0b3e8af2a367cfe4f6da2f029e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7866556a0f4e81d1c4c3493f04bd60f009ade668c511818f3279aa8517763c2",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-12-08T06:35:51Z",
    "title_canon_sha256": "669f477b689b9eda70ec66cb034265964187a79a0999792a8b703542f7769809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02351",
    "kind": "arxiv",
    "version": 1
  }
}