Pith Number

pith:BUYOK44M

pith:2018:BUYOK44MY3F3IG7VGTAHAOUB7R

not attested not anchored not stored refs pending

On Carleman and Observability Estimates for Wave Equations on Time-Dependent Domains

Arick Shao

arxiv:1805.07859 v2 · 2018-05-21 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUYOK44MY3F3IG7VGTAHAOUB7R}

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	2026-07-05T00:33:08.780538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d30e5738cc6cbb41bf534c0703a81fc7609ed5723c6972f6c8456b2e7e5a425

Aliases

arxiv: 1805.07859 · arxiv_version: 1805.07859v2 · doi: 10.48550/arxiv.1805.07859 · pith_short_12: BUYOK44MY3F3 · pith_short_16: BUYOK44MY3F3IG7V · pith_short_8: BUYOK44M

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/BUYOK44MY3F3IG7VGTAHAOUB7R \
  | 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: 0d30e5738cc6cbb41bf534c0703a81fc7609ed5723c6972f6c8456b2e7e5a425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f4fb393a9c056a9328c22000ace2585fcc188a47c51e8352f74f4bdb3164cd2",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-21T01:24:19Z",
    "title_canon_sha256": "38fd2e8cf8d954cd7505a4a812ee03bfc17f9a1586bd8714b5c13cef7b49f92a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07859",
    "kind": "arxiv",
    "version": 2
  }
}