Pith Number

pith:55PZPNXV

pith:2024:55PZPNXVCQMY45LSE5G7QRRHQ3

not attested not anchored not stored refs pending

An Eulerian-Lagrangian Formulation of the Compressible Euler Equations with Vacuum

Christian Olivera, Wladimir Neves

arxiv:2409.13414 v4 · 2024-09-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55PZPNXVCQMY45LSE5G7QRRHQ3}

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	2026-05-20T00:05:25.921650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef5f97b6f514198e7572274df8462786d79bcbac429c246c0fb26ba6970fd12c

Aliases

arxiv: 2409.13414 · arxiv_version: 2409.13414v4 · doi: 10.48550/arxiv.2409.13414 · pith_short_12: 55PZPNXVCQMY · pith_short_16: 55PZPNXVCQMY45LS · pith_short_8: 55PZPNXV

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/55PZPNXVCQMY45LSE5G7QRRHQ3 \
  | 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: ef5f97b6f514198e7572274df8462786d79bcbac429c246c0fb26ba6970fd12c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b8a96b271f0a7d55cb127175a72d0a5009b0adda92c02182611784cd422ba2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-20T11:25:20Z",
    "title_canon_sha256": "587c662ae3cb5f0e754ac530212a83eb35a9adb348a44ca81ec5d901824d1375"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.13414",
    "kind": "arxiv",
    "version": 4
  }
}