Pith Number

pith:43DUB4ME

pith:2018:43DUB4MEQCMHT43AVG3JL6AMKE

not attested not anchored not stored refs pending

Plane-wave analysis of a hyperbolic system of equations with relaxation in $\mathbb{R}^{d}$

Jian-Guo Liu, Maarten V. de Hoop, Nail S. Ussembayev, Peter A. Markowich

arxiv:1809.10649 v1 · 2018-09-27 · 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{43DUB4MEQCMHT43AVG3JL6AMKE}

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	2026-05-18T00:04:37.932338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6c740f184809879f360a9b695f80c51107797785e7576b55e5eee95add36969

Aliases

arxiv: 1809.10649 · arxiv_version: 1809.10649v1 · doi: 10.48550/arxiv.1809.10649 · pith_short_12: 43DUB4MEQCMH · pith_short_16: 43DUB4MEQCMHT43A · pith_short_8: 43DUB4ME

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/43DUB4MEQCMHT43AVG3JL6AMKE \
  | 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: e6c740f184809879f360a9b695f80c51107797785e7576b55e5eee95add36969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9858165d381cc7f63071006b79a8535a7c965d8eec3fa2dd39771136a38d5f13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-27T17:24:58Z",
    "title_canon_sha256": "5ef988f8a87757cc9cdb2c93f2e5b1408fc096edfab66156d64eba838f86cd5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10649",
    "kind": "arxiv",
    "version": 1
  }
}