Pith Number

pith:Y2SU43P2

pith:2017:Y2SU43P2HUN5KBTNDRLXBYYWGZ

not attested not anchored not stored refs pending

Hidden symmetries in $N$-layer dielectric stacks

Haihao Liu, M. Shoufie Ukhtary, Riichiro Saito

arxiv:1705.09535 v1 · 2017-05-26 · physics.optics · math-ph · math.MP · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2SU43P2HUN5KBTNDRLXBYYWGZ}

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	2026-05-18T00:32:09.971727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a54e6dfa3d1bd5066d1c5770e316366cfc3a1e1ae4b1530164f24debd738f0

Aliases

arxiv: 1705.09535 · arxiv_version: 1705.09535v1 · doi: 10.48550/arxiv.1705.09535 · pith_short_12: Y2SU43P2HUN5 · pith_short_16: Y2SU43P2HUN5KBTN · pith_short_8: Y2SU43P2

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/Y2SU43P2HUN5KBTNDRLXBYYWGZ \
  | 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: c6a54e6dfa3d1bd5066d1c5770e316366cfc3a1e1ae4b1530164f24debd738f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7030aea1a1791672da936d70058b29bb258010dc0fc3d6d7caf87c4100b1465b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2017-05-26T11:27:28Z",
    "title_canon_sha256": "d871da3ccfe1bacdc9d08c1afcc7dbbceaf66118b6c5d8ad1789acc3a84aff9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09535",
    "kind": "arxiv",
    "version": 1
  }
}