Pith Number

pith:MMNJXE2U

pith:2013:MMNJXE2U6ZAV55MRX4MANPN6DE

not attested not anchored not stored refs pending

Seeding supermassive black holes with a non-vortical dark-matter subcomponent

Ignacy Sawicki (U. Heidelberg, Inst. Theor. Phys), ITP), Valerio Marra (U. Heidelberg, Wessel Valkenburg (U. Leiden

arxiv:1307.6150 v2 · 2013-07-23 · astro-ph.CO · astro-ph.GA · 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{MMNJXE2U6ZAV55MRX4MANPN6DE}

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	2026-05-18T03:08:26.790992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

631a9b9354f6415ef591bf1806bdbe193c79123fe503c61a68b623761453e29c

Aliases

arxiv: 1307.6150 · arxiv_version: 1307.6150v2 · doi: 10.48550/arxiv.1307.6150 · pith_short_12: MMNJXE2U6ZAV · pith_short_16: MMNJXE2U6ZAV55MR · pith_short_8: MMNJXE2U

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/MMNJXE2U6ZAV55MRX4MANPN6DE \
  | 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: 631a9b9354f6415ef591bf1806bdbe193c79123fe503c61a68b623761453e29c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca8774b3b121ff5fbc84c12b6a3a5537f1f231c064e5ccac83635fa28bf7787a",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-07-23T16:48:56Z",
    "title_canon_sha256": "3deb73eee1455c8f3a3a5c53e53bc0abae39ba4efcec6ee3477240a5609f5a99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6150",
    "kind": "arxiv",
    "version": 2
  }
}