pith. sign in
Pith Number

pith:NA4WNIO2

pith:2018:NA4WNIO2ZEMZLZ7P2NP7DF3L5S
not attested not anchored not stored refs pending

Extended family of generalized Chaplygin gas models

P. P. Avelino, V. M. C. Ferreira

arxiv:1807.04656 v1 · 2018-07-11 · gr-qc · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NA4WNIO2ZEMZLZ7P2NP7DF3L5S}

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 2026-05-18T00:07:33.779311Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

683966a1dac91995e7efd35ff1976becb72ea2f6bffa527225319bee996f6f6c

Aliases

arxiv: 1807.04656 · arxiv_version: 1807.04656v1 · doi: 10.48550/arxiv.1807.04656 · pith_short_12: NA4WNIO2ZEMZ · pith_short_16: NA4WNIO2ZEMZLZ7P · pith_short_8: NA4WNIO2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NA4WNIO2ZEMZLZ7P2NP7DF3L5S \
  | 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: 683966a1dac91995e7efd35ff1976becb72ea2f6bffa527225319bee996f6f6c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2106ece28a0cc4cde377d5d833b0b217d8557dc674bace676bae56430d5d410c",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-07-11T16:37:59Z",
    "title_canon_sha256": "401887058fb60aaa97259f066fd2ef884769fec51d2f1cec016a30b07546ae3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04656",
    "kind": "arxiv",
    "version": 1
  }
}