Pith Number

pith:4KZR5BFL

pith:2015:4KZR5BFLLRKQJC2IBN2KUJKVZ5

not attested not anchored not stored refs pending

Imaging with electromagnetic waves in terminating waveguides

Dinh-Liem Nguyen, Liliana Borcea

arxiv:1510.07062 v1 · 2015-10-23 · 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{4KZR5BFLLRKQJC2IBN2KUJKVZ5}

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	2026-05-18T01:29:20.213037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b31e84ab5c55048b480b74aa2555cf632dab815cf7523c03c2bf99f003f3e7

Aliases

arxiv: 1510.07062 · arxiv_version: 1510.07062v1 · doi: 10.48550/arxiv.1510.07062 · pith_short_12: 4KZR5BFLLRKQ · pith_short_16: 4KZR5BFLLRKQJC2I · pith_short_8: 4KZR5BFL

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/4KZR5BFLLRKQJC2IBN2KUJKVZ5 \
  | 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: e2b31e84ab5c55048b480b74aa2555cf632dab815cf7523c03c2bf99f003f3e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c615e8f5111697efb7cd61961fd1ae25bbed3496ebd28e2fe989df1102e970",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-10-23T20:38:30Z",
    "title_canon_sha256": "10be9228ecad8ac52426876030bd6f8acc9012d34dbbcbd16c84ecddd50fd5d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07062",
    "kind": "arxiv",
    "version": 1
  }
}