Pith Number

pith:XMTBO33C

pith:2021:XMTBO33CXJ447SY3WWJOPOJN37

not attested not anchored not stored refs pending

Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation

Stefano Longhi

arxiv:2109.01325 v1 · 2021-09-03 · physics.optics · quant-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{XMTBO33CXJ447SY3WWJOPOJN37}

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	2026-07-05T03:11:17.495247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb26176f62ba79cfcb1bb592e7b92ddfe4f5cd1e71a500bf7ebdf3f0e25df77a

Aliases

arxiv: 2109.01325 · arxiv_version: 2109.01325v1 · doi: 10.48550/arxiv.2109.01325 · pith_short_12: XMTBO33CXJ44 · pith_short_16: XMTBO33CXJ447SY3 · pith_short_8: XMTBO33C

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/XMTBO33CXJ447SY3WWJOPOJN37 \
  | 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: bb26176f62ba79cfcb1bb592e7b92ddfe4f5cd1e71a500bf7ebdf3f0e25df77a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59ce3a2f542907c99ce58fd2ade1fe377a53c3183fc9495805d1655425c4c3f4",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-09-03T05:50:54Z",
    "title_canon_sha256": "b04157f9b37c0ce7c7471df86d11c6d11bc582101dfc89762efa4364bc5a0fd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.01325",
    "kind": "arxiv",
    "version": 1
  }
}