Pith Number

pith:7PIVRRXN

pith:2015:7PIVRRXNK7QDYDUBNCXDNBZSNU

not attested not anchored not stored refs pending

Controlling Electromagnetic Fields at Boundaries of Arbitrary Geometries

Carlo Molardi, Jonathon Yi Han Teo, Liang Jie Wong, Patrice Genevet

arxiv:1509.06175 v1 · 2015-09-21 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PIVRRXNK7QDYDUBNCXDNBZSNU}

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	2026-05-18T01:08:43.376342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbd158c6ed57e03c0e8168ae3687326d0af1407af07bbbba04e6faba39543181

Aliases

arxiv: 1509.06175 · arxiv_version: 1509.06175v1 · doi: 10.48550/arxiv.1509.06175 · pith_short_12: 7PIVRRXNK7QD · pith_short_16: 7PIVRRXNK7QDYDUB · pith_short_8: 7PIVRRXN

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/7PIVRRXNK7QDYDUBNCXDNBZSNU \
  | 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: fbd158c6ed57e03c0e8168ae3687326d0af1407af07bbbba04e6faba39543181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c888d33ce272a10fe2473968b71786185f2f3baf5be4a26630b543c04631307",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-09-21T10:19:52Z",
    "title_canon_sha256": "ca0229fa7913440f720135330a069b9ad696264c02ab08a3fa95da9f4bcc00c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06175",
    "kind": "arxiv",
    "version": 1
  }
}