Pith Number

pith:S6D7TRYR

pith:2019:S6D7TRYRN3QPPMJPZZFBABAUAJ

not attested not anchored not stored refs pending

Approximate cloaking using transformation optics for acoustic and electromagnetic waves

Hoai-Minh Nguyen, Michael S. Vogelius

arxiv:1901.09621 v2 · 2019-01-28 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6D7TRYRN3QPPMJPZZFBABAUAJ}

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	2026-05-17T23:55:02.914483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9787f9c7116ee0f7b12fce4a10041402603b4213e6cd40fcc6304a60ca020779

Aliases

arxiv: 1901.09621 · arxiv_version: 1901.09621v2 · doi: 10.48550/arxiv.1901.09621 · pith_short_12: S6D7TRYRN3QP · pith_short_16: S6D7TRYRN3QPPMJP · pith_short_8: S6D7TRYR

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/S6D7TRYRN3QPPMJPZZFBABAUAJ \
  | 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: 9787f9c7116ee0f7b12fce4a10041402603b4213e6cd40fcc6304a60ca020779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871c0c9658312fc648c2c627d2fc10042149bca86a3234b74e03959c96eef97b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-28T12:10:09Z",
    "title_canon_sha256": "b107aa86f910c21dac4f4bb3ef1699757142f1df33df481df4780c6d7923034d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09621",
    "kind": "arxiv",
    "version": 2
  }
}