Pith Number

pith:QP7FBZDL

pith:2014:QP7FBZDLIR4AXJZJVZZNWXEH3A

not attested not anchored not stored refs pending

A Compact Third-order Gas-kinetic Scheme for Compressible Euler and Navier-Stokes Equations

Kun Xu, Liang Pan

arxiv:1412.4489 v1 · 2014-12-15 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QP7FBZDLIR4AXJZJVZZNWXEH3A}

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	2026-06-04T16:08:59.648119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83fe50e46b44780ba729ae72db5c87d80ed0d3e9255379f364f675b45f993107

Aliases

arxiv: 1412.4489 · arxiv_version: 1412.4489v1 · doi: 10.48550/arxiv.1412.4489 · pith_short_12: QP7FBZDLIR4A · pith_short_16: QP7FBZDLIR4AXJZJ · pith_short_8: QP7FBZDL

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/QP7FBZDLIR4AXJZJVZZNWXEH3A \
  | 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: 83fe50e46b44780ba729ae72db5c87d80ed0d3e9255379f364f675b45f993107

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f7423050d28f2badf05d97534ce2ef045befe53bc87cef4acf3d1e0fd3b02f9",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-15T07:57:19Z",
    "title_canon_sha256": "03d95c65605f86bb01566fb509def0cd3343369d59fb478a3069567762ead123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4489",
    "kind": "arxiv",
    "version": 1
  }
}