pith. sign in
Pith Number

pith:GPB47WAE

pith:2018:GPB47WAELOKPKTHNXKHHFMZXYO
not attested not anchored not stored refs pending

Exponential Decay in a Timoshenko-type System of Thermoelasticity of Type III with Frictional versus Viscoelatic Damping and Delay

Yuming Qin, Zili Liu

arxiv:1810.05820 v1 · 2018-10-13 · math.AP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GPB47WAELOKPKTHNXKHHFMZXYO}

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 2026-05-18T00:03:26.841609Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

33c3cfd8045b94f54cedba8e72b337c3b8f20e321043d87fe2925e43661f4241

Aliases

arxiv: 1810.05820 · arxiv_version: 1810.05820v1 · doi: 10.48550/arxiv.1810.05820 · pith_short_12: GPB47WAELOKP · pith_short_16: GPB47WAELOKPKTHN · pith_short_8: GPB47WAE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GPB47WAELOKPKTHNXKHHFMZXYO \
  | 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: 33c3cfd8045b94f54cedba8e72b337c3b8f20e321043d87fe2925e43661f4241
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0da5db606884f5987a3205b497e03b42cfd382b8a3c0b0723b018c668cfb7767",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-13T08:39:25Z",
    "title_canon_sha256": "5ab5f05ad10d2549ef2b29bf12ebbabba4e90088da658287fc045ec2dbd72353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05820",
    "kind": "arxiv",
    "version": 1
  }
}