Pith Number

pith:VAA6GRND

pith:2019:VAA6GRNDTWI6ARVZPJ5VPDGYOL

not attested not anchored not stored refs pending

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

Pierre-Henri Chavanis

arxiv:1908.10806 v1 · 2019-08-28 · 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{VAA6GRNDTWI6ARVZPJ5VPDGYOL}

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

Self-gravitating quantum stars with a globally relevant Bohm potential

Receipt and verification

First computed	2026-07-05T02:01:28.037604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a801e345a39d91e046b97a7b578cd872c4e9aff84c9be28630e3df5f1f459e0b

Aliases

arxiv: 1908.10806 · arxiv_version: 1908.10806v1 · doi: 10.48550/arxiv.1908.10806 · pith_short_12: VAA6GRNDTWI6 · pith_short_16: VAA6GRNDTWI6ARVZ · pith_short_8: VAA6GRND

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/VAA6GRNDTWI6ARVZPJ5VPDGYOL \
  | 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: a801e345a39d91e046b97a7b578cd872c4e9aff84c9be28630e3df5f1f459e0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff974cc6e18e0bcfbfdb057ea04f1a1b29b8d0201162e11fe7302ab1c7dbff7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-28T16:16:54Z",
    "title_canon_sha256": "1ec44389dbd99b26ad92710cc1061e181f8c7b097e1b9af0e3d5e4b460d0b021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10806",
    "kind": "arxiv",
    "version": 1
  }
}