Pith Number

pith:XEPG7A24

pith:2018:XEPG7A247EPDPCJQYKYU3HT4DW

not attested not anchored not stored refs pending

Mixed Spectral Element Method for the Waveguide Problem with Bloch Periodic Boundary

Jie Liu, Na Liu, Qing Huo Liu, Wei Jiang

arxiv:1803.07558 v1 · 2018-03-20 · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEPG7A247EPDPCJQYKYU3HT4DW}

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	2026-05-18T00:20:29.557927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91e6f835cf91e378930c2b14d9e7c1db4a1bc49eadbd766301ee95479da8ac3

Aliases

arxiv: 1803.07558 · arxiv_version: 1803.07558v1 · doi: 10.48550/arxiv.1803.07558 · pith_short_12: XEPG7A247EPD · pith_short_16: XEPG7A247EPDPCJQ · pith_short_8: XEPG7A24

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/XEPG7A247EPDPCJQYKYU3HT4DW \
  | 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: b91e6f835cf91e378930c2b14d9e7c1db4a1bc49eadbd766301ee95479da8ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbe44ebc46c21f8ed233781287599e39603f238e54e2231b7b222e738c57067d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2018-03-20T13:05:12Z",
    "title_canon_sha256": "e3908e429a13bdce642fc6ad071d5a4a10856bc389b5b46523e24f2c4e92a2f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07558",
    "kind": "arxiv",
    "version": 1
  }
}