Pith Number

pith:OLMOBD2R

pith:2019:OLMOBD2R2SFHU47PM27DFXOXF3

not attested not anchored not stored refs pending

Gravitational phase transitions and instabilities of self-gravitating fermions in general relativity

Giuseppe Alberti, Pierre-Henri Chavanis

arxiv:1908.10303 v1 · 2019-08-27 · 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{OLMOBD2R2SFHU47PM27DFXOXF3}

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

Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas

Receipt and verification

First computed	2026-07-05T00:39:13.545675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d8e08f51d48a7a73ef66be32ddd72ec6f7497a460492a6d752804b3429bda9

Aliases

arxiv: 1908.10303 · arxiv_version: 1908.10303v1 · doi: 10.48550/arxiv.1908.10303 · pith_short_12: OLMOBD2R2SFH · pith_short_16: OLMOBD2R2SFHU47P · pith_short_8: OLMOBD2R

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/OLMOBD2R2SFHU47PM27DFXOXF3 \
  | 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: 72d8e08f51d48a7a73ef66be32ddd72ec6f7497a460492a6d752804b3429bda9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c8de63c14af112772ef7485bb3eb566b037fbe54ca75cc9102900283b0f6a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-27T16:27:01Z",
    "title_canon_sha256": "0e82286ab5af9b46626ee6d1a8d58c22e3b7a2ab67e66b5719afb357fb45935f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10303",
    "kind": "arxiv",
    "version": 1
  }
}