Pith Number

pith:C3WQWQP2

pith:2021:C3WQWQP2OWXBT6AWJWOHXGIE5B

not attested not anchored not stored refs pending

Exponentially convergent multiscale methods for high frequency heterogeneous Helmholtz equations

Thomas Y. Hou, Yifan Chen, Yixuan Wang

arxiv:2105.04080 v4 · 2021-05-10 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3WQWQP2OWXBT6AWJWOHXGIE5B}

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	2026-07-05T05:08:24.915392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16ed0b41fa75ae19f8164d9c7b9904e852e12334b5c8d2bfe81bf2d729e77bbe

Aliases

arxiv: 2105.04080 · arxiv_version: 2105.04080v4 · doi: 10.48550/arxiv.2105.04080 · pith_short_12: C3WQWQP2OWXB · pith_short_16: C3WQWQP2OWXBT6AW · pith_short_8: C3WQWQP2

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/C3WQWQP2OWXBT6AWJWOHXGIE5B \
  | 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: 16ed0b41fa75ae19f8164d9c7b9904e852e12334b5c8d2bfe81bf2d729e77bbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39be5b7a8f2afb4691dd30bf1297ff18a66804471facb7f7f802a1e86d66c5d4",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-05-10T02:33:54Z",
    "title_canon_sha256": "f8cd8d9db5b154bf980084487467c4dc018e83204893e6272ec7f261fb1c1fef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.04080",
    "kind": "arxiv",
    "version": 4
  }
}