Pith Number

pith:GD2Z3HOS

pith:2016:GD2Z3HOSEU2BWR7DS7WIWQJQGF

not attested not anchored not stored refs pending

$L^p$-$L^q$ decay estimates for dissipative linear hyperbolic systems in 1D

Corrado Mascia, Thinh Tien Nguyen

arxiv:1608.03389 v2 · 2016-08-11 · 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{GD2Z3HOSEU2BWR7DS7WIWQJQGF}

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	2026-05-18T00:39:07.089429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f59d9dd225341b47e397ec8b4130317aba20e7ace7d11281dbb0ebb5f25cb7

Aliases

arxiv: 1608.03389 · arxiv_version: 1608.03389v2 · doi: 10.48550/arxiv.1608.03389 · pith_short_12: GD2Z3HOSEU2B · pith_short_16: GD2Z3HOSEU2BWR7D · pith_short_8: GD2Z3HOS

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/GD2Z3HOSEU2BWR7DS7WIWQJQGF \
  | 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: 30f59d9dd225341b47e397ec8b4130317aba20e7ace7d11281dbb0ebb5f25cb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e46e798cb8c6be4e36efecd3a129e16eb3599a9889b45457cf87b7a61190ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-11T07:18:52Z",
    "title_canon_sha256": "d4ea4b642f3e2156a08575739d662e1f955cf5cb43bea2e785a0cc257b30e2c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03389",
    "kind": "arxiv",
    "version": 2
  }
}