Pith Number

pith:ZEMXLP2R

pith:2021:ZEMXLP2RZ5QZD4U4GJTWAQAHJC

not attested not anchored not stored refs pending

Numerical Eigensolver for Solving Eigenmodes of Cavity Resonators Filled With both Electric and Magnetic Lossy, Anisotropic Media

Jie Liu, Shiling Zheng, Wei Jiang

arxiv:2108.13278 v1 · 2021-08-30 · 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{ZEMXLP2RZ5QZD4U4GJTWAQAHJC}

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	2026-07-05T03:09:52.129464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91975bf51cf6191f29c32676040074885916e68fefe2716faa098e669fb5f84

Aliases

arxiv: 2108.13278 · arxiv_version: 2108.13278v1 · doi: 10.48550/arxiv.2108.13278 · pith_short_12: ZEMXLP2RZ5QZ · pith_short_16: ZEMXLP2RZ5QZD4U4 · pith_short_8: ZEMXLP2R

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/ZEMXLP2RZ5QZD4U4GJTWAQAHJC \
  | 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: c91975bf51cf6191f29c32676040074885916e68fefe2716faa098e669fb5f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb4b18023dde97d4571a17f7150ca1b082c1884e1e5314d1c77fc7ef465de54b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-08-30T14:46:46Z",
    "title_canon_sha256": "1db2a67becfd9f531424beb13cffb3b192854d9d794a95e69405e26cbdebdc23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.13278",
    "kind": "arxiv",
    "version": 1
  }
}