Pith Number

pith:JK6GZVLR

pith:2019:JK6GZVLRUX52DHER7X2PV3MIBR

not attested not anchored not stored refs pending

Theoretical foundations of the reduced relativistic gas in the cosmological perturbed context

G. Pordeus-da-Silva, L. G. Medeiros, R. C. Batista

arxiv:1904.09904 v2 · 2019-04-22 · astro-ph.CO · 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{JK6GZVLRUX52DHER7X2PV3MIBR}

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	2026-05-17T23:42:41.788359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4abc6cd571a5fba19c91fdf4faed880c4190da2cf2c3226f99e7e51298b95ee1

Aliases

arxiv: 1904.09904 · arxiv_version: 1904.09904v2 · doi: 10.48550/arxiv.1904.09904 · pith_short_12: JK6GZVLRUX52 · pith_short_16: JK6GZVLRUX52DHER · pith_short_8: JK6GZVLR

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/JK6GZVLRUX52DHER7X2PV3MIBR \
  | 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: 4abc6cd571a5fba19c91fdf4faed880c4190da2cf2c3226f99e7e51298b95ee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001c8ccbfdcde98eea7e2a163930a27887573a1218a08aa1e1e4921570924169",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-04-22T14:40:57Z",
    "title_canon_sha256": "9759d882084368c3efe135dbcffe73fac54da4644cc3f7d93eee8491d76df61d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09904",
    "kind": "arxiv",
    "version": 2
  }
}