Pith Number

pith:R5NCUPPG

pith:2018:R5NCUPPGGQZQTMWE5JAXZKRW2J

not attested not anchored not stored refs pending

One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: symmetry classification, conservation laws, difference schemes

Roman Kozlov, Sergey V. Meleshko, Vladimir A. Dorodnitsyn

arxiv:1812.04598 v1 · 2018-12-11 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5NCUPPGGQZQTMWE5JAXZKRW2J}

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	2026-05-17T23:47:27.153676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f5a2a3de6343309b2c4ea417caa36d240d17e8af6a17b0dd40aa1dc3d92e436

Aliases

arxiv: 1812.04598 · arxiv_version: 1812.04598v1 · doi: 10.48550/arxiv.1812.04598 · pith_short_12: R5NCUPPGGQZQ · pith_short_16: R5NCUPPGGQZQTMWE · pith_short_8: R5NCUPPG

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/R5NCUPPGGQZQTMWE5JAXZKRW2J \
  | 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: 8f5a2a3de6343309b2c4ea417caa36d240d17e8af6a17b0dd40aa1dc3d92e436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e49ce90e3517e81b90ba15771dcba3fc60d26fff4fd6e5514b2f7e4e5bf37b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-11T18:35:46Z",
    "title_canon_sha256": "f1cabd865d81656b4fa34997436bca3b8edd1ca68b9564b9503106148011077a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04598",
    "kind": "arxiv",
    "version": 1
  }
}