Pith Number

pith:UGF5IF2Y

pith:2017:UGF5IF2YT7XGYFKAXYYSW2HTWA

not attested not anchored not stored refs pending

A Harmonic Analysis Proof of the Boundary Observability Inequality for the Wave Equation and Visco-Elastic Equation

Mishko Mitkovski, Shitao Liu, Walton Green

arxiv:1801.00339 v1 · 2017-12-31 · 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{UGF5IF2YT7XGYFKAXYYSW2HTWA}

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	2026-05-18T00:26:58.645715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a18bd417589fee6c1540be312b68f3b007f6684b05be8fea4fb297d265ba66aa

Aliases

arxiv: 1801.00339 · arxiv_version: 1801.00339v1 · doi: 10.48550/arxiv.1801.00339 · pith_short_12: UGF5IF2YT7XG · pith_short_16: UGF5IF2YT7XGYFKA · pith_short_8: UGF5IF2Y

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/UGF5IF2YT7XGYFKAXYYSW2HTWA \
  | 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: a18bd417589fee6c1540be312b68f3b007f6684b05be8fea4fb297d265ba66aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b06fd8d9ceb3c5d65243a20334bbf1f9040046634683858adcf61f761fe586da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-31T18:57:28Z",
    "title_canon_sha256": "f8684c9ad803cd329a38402332a10f544e8e9ecd6e74a2cd9f3c3344cc10d7e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00339",
    "kind": "arxiv",
    "version": 1
  }
}