Pith Number

pith:VVOYBZRY

pith:2019:VVOYBZRYRXZFLFMSJIOSTFQCQZ

not attested not anchored not stored refs pending

An order-disorder phase transition in black-hole star clusters

Jihad Touma, Mher Kazandjian, Scott Tremaine

arxiv:1907.01555 v1 · 2019-07-02 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVOYBZRYRXZFLFMSJIOSTFQCQZ}

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

An order-disorder phase transition in black-hole star clusters

Receipt and verification

First computed	2026-05-17T23:39:42.850350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5d80e6388df25595924a1d2996028641d8e5833d40a107c842c2123fb024f3

Aliases

arxiv: 1907.01555 · arxiv_version: 1907.01555v1 · doi: 10.48550/arxiv.1907.01555 · pith_short_12: VVOYBZRYRXZF · pith_short_16: VVOYBZRYRXZFLFMS · pith_short_8: VVOYBZRY

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/VVOYBZRYRXZFLFMSJIOSTFQCQZ \
  | 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: ad5d80e6388df25595924a1d2996028641d8e5833d40a107c842c2123fb024f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "511c9e3b8dabb9cf480f3cd399d09934c9350b2ccbe6e0ad444f5e4571e9733b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2019-07-02T18:00:00Z",
    "title_canon_sha256": "e025e224df7a4bae318df790e4eb325af15e4d9444f835b4e86e5a8751444417"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01555",
    "kind": "arxiv",
    "version": 1
  }
}