Pith Number

pith:Z5L2YQ4G

pith:2019:Z5L2YQ4G6Y3MTH4SXTLF3JXYZU

not attested not anchored not stored refs pending

Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains

Guanglian Li, Richard Craster, Sebastien Guenneau, Shubin Fu

arxiv:1906.08453 v1 · 2019-06-20 · 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{Z5L2YQ4G6Y3MTH4SXTLF3JXYZU}

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	2026-05-17T23:42:52.427455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf57ac4386f636c99f92bcd65da6f8cd0c39ee2310eefb16f2e2673c4c33fe59

Aliases

arxiv: 1906.08453 · arxiv_version: 1906.08453v1 · doi: 10.48550/arxiv.1906.08453 · pith_short_12: Z5L2YQ4G6Y3M · pith_short_16: Z5L2YQ4G6Y3MTH4S · pith_short_8: Z5L2YQ4G

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/Z5L2YQ4G6Y3MTH4SXTLF3JXYZU \
  | 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: cf57ac4386f636c99f92bcd65da6f8cd0c39ee2310eefb16f2e2673c4c33fe59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e680c357bc9936066d04d9c5b966cba40e58fcabe0ca51f9a63617f4233d1f4",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-06-20T05:50:16Z",
    "title_canon_sha256": "d88f5183c56a0f108b6806bdfe4de03f7bb8a10ce10f89d0b587295c023fb98f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08453",
    "kind": "arxiv",
    "version": 1
  }
}