Pith Number

pith:3TL3Z4FP

pith:2015:3TL3Z4FPXMJFFG6YIPQTMHTTFR

not attested not anchored not stored refs pending

Cloaking using complementary media for the Helmholtz equation and a three spheres inequality for second order elliptic equations

Hoai-Minh Nguyen, Loc Hoang Nguyen

arxiv:1504.07378 v1 · 2015-04-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TL3Z4FPXMJFFG6YIPQTMHTTFR}

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	2026-05-18T02:17:34.915122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcd7bcf0afbb12529bd843e1361e732c4bc14549016e2d38a9c8209f1f7233a4

Aliases

arxiv: 1504.07378 · arxiv_version: 1504.07378v1 · doi: 10.48550/arxiv.1504.07378 · pith_short_12: 3TL3Z4FPXMJF · pith_short_16: 3TL3Z4FPXMJFFG6Y · pith_short_8: 3TL3Z4FP

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/3TL3Z4FPXMJFFG6YIPQTMHTTFR \
  | 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: dcd7bcf0afbb12529bd843e1361e732c4bc14549016e2d38a9c8209f1f7233a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0bdfb6c45882f6d3f047b17f90bd1ed3ebe7bb0abb502b44aec6cb234d7a515",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-28T08:34:33Z",
    "title_canon_sha256": "a0b2e4ed30f9f4902a51aabda80f1ad9f25849a939bf065e17375f3f25ca11ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07378",
    "kind": "arxiv",
    "version": 1
  }
}