Pith Number

pith:H7WIGWCC

pith:2017:H7WIGWCCNAWTKAPMAKOWAQRS47

not attested not anchored not stored refs pending

High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis

Andrew Gibbs, Euan A. Spence, Simon N. Chandler-Wilde, Valery P. Smyshlyaev

arxiv:1708.08415 v5 · 2017-08-28 · 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{H7WIGWCCNAWTKAPMAKOWAQRS47}

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	2026-07-05T00:23:19.314046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fec835842682d3501ec029d604232e7fa4bb3a249500b529d07ebaf95c375b4

Aliases

arxiv: 1708.08415 · arxiv_version: 1708.08415v5 · doi: 10.48550/arxiv.1708.08415 · pith_short_12: H7WIGWCCNAWT · pith_short_16: H7WIGWCCNAWTKAPM · pith_short_8: H7WIGWCC

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/H7WIGWCCNAWTKAPMAKOWAQRS47 \
  | 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: 3fec835842682d3501ec029d604232e7fa4bb3a249500b529d07ebaf95c375b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a53962a6f78c1db58f6d0ab218053477e36a2982ab5d9253b1de1ed2bad609",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-28T16:52:10Z",
    "title_canon_sha256": "2099f87c426225cb10f80365f61b9872e72caf0e3208c3fdfead2f458edc90d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08415",
    "kind": "arxiv",
    "version": 5
  }
}