Pith Number

pith:FGT4XVXW

pith:2016:FGT4XVXWLMPPWVRHF25VZ47LCK

not attested not anchored not stored refs pending

A Sufficient Condition of Having Independent TE and TM Modes in a Waveguide Filled with Homogenous Anisotropic Lossless Medium

Jie Liu, Qing Huo Liu, Wei Jiang

arxiv:1603.06439 v1 · 2016-03-21 · math.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{FGT4XVXWLMPPWVRHF25VZ47LCK}

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	2026-05-18T01:18:48.516691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a7cbd6f65b1efb56272ebb5cf3eb129935f53654be264d884560414efa896d

Aliases

arxiv: 1603.06439 · arxiv_version: 1603.06439v1 · doi: 10.48550/arxiv.1603.06439 · pith_short_12: FGT4XVXWLMPP · pith_short_16: FGT4XVXWLMPPWVRH · pith_short_8: FGT4XVXW

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/FGT4XVXWLMPPWVRHF25VZ47LCK \
  | 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: 29a7cbd6f65b1efb56272ebb5cf3eb129935f53654be264d884560414efa896d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac4981abedda12a160ae1fa7aa965107de1b43ebca949cb188b26053619a67b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-03-21T14:35:31Z",
    "title_canon_sha256": "3561fe09a1b2af957262f38791b41e2f19906ebe56ec49bd788af608afb5bb6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06439",
    "kind": "arxiv",
    "version": 1
  }
}