Pith Number

pith:Z67D3E4G

pith:2018:Z67D3E4GA4HUP7E7TEP3M3KNOC

not attested not anchored not stored refs pending

On localizing and concentrating electromagnetic fields

Bastian Harrach, Hongyu Liu, Yi-Hsuan Lin

arxiv:1803.02948 v1 · 2018-03-08 · 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{Z67D3E4GA4HUP7E7TEP3M3KNOC}

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	2026-05-18T00:00:35.280277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfbe3d9386070f47fc9f991fb66d4d709b7aec4794b78ea1a38336fc709c8f76

Aliases

arxiv: 1803.02948 · arxiv_version: 1803.02948v1 · doi: 10.48550/arxiv.1803.02948 · pith_short_12: Z67D3E4GA4HU · pith_short_16: Z67D3E4GA4HUP7E7 · pith_short_8: Z67D3E4G

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/Z67D3E4GA4HUP7E7TEP3M3KNOC \
  | 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: cfbe3d9386070f47fc9f991fb66d4d709b7aec4794b78ea1a38336fc709c8f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08abfb1850d116e5282b951e5671e078cbb9b669648913fb845ee59dce606e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-08T02:50:47Z",
    "title_canon_sha256": "144d1a3bc982ebe2be6b3fc1ce2c99b75a23c5281c2f6bc087cf21144d07db25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02948",
    "kind": "arxiv",
    "version": 1
  }
}