Pith Number

pith:QL7AHY6N

pith:2019:QL7AHY6N7Z6TYJUPMIPA5IC67L

not attested not anchored not stored refs pending

Caloric curves of classical self-gravitating systems in general relativity

Giuseppe Alberti, Pierre-Henri Chavanis

arxiv:1908.10316 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{QL7AHY6N7Z6TYJUPMIPA5IC67L}

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	2026-07-05T01:04:01.214921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82fe03e3cdfe7d3c268f621e0ea05efac7cd64dd8893a4267b2d559811903d3b

Aliases

arxiv: 1908.10316 · arxiv_version: 1908.10316v1 · doi: 10.48550/arxiv.1908.10316 · pith_short_12: QL7AHY6N7Z6T · pith_short_16: QL7AHY6N7Z6TYJUP · pith_short_8: QL7AHY6N

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/QL7AHY6N7Z6TYJUPMIPA5IC67L \
  | 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: 82fe03e3cdfe7d3c268f621e0ea05efac7cd64dd8893a4267b2d559811903d3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802c57d11ec915e0987e1c20953dcca4e77739575e0bdbcdc5f872a5ba1a915c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-27T16:44:40Z",
    "title_canon_sha256": "215222b7e1c0be394d4bad9ab443b33af379847e1a2cd70eda03c42a302c5494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10316",
    "kind": "arxiv",
    "version": 1
  }
}