Pith Number

pith:N3CXPN4R

pith:2020:N3CXPN4RNW6R7MBNUCX6NJ77IJ

not attested not anchored not stored refs pending

Generalized Aubry-Andr\'e self-duality and Mobility edges in non-Hermitian quasi-periodic lattices

Hao Guo, Stefano Longhi, Tong Liu, Yong Pu

arxiv:2007.06259 v1 · 2020-07-13 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3CXPN4RNW6R7MBNUCX6NJ77IJ}

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	2026-07-05T01:18:11.359681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec577b7916dbd1fb02da0afe6a7ff4257237a2bc4a91d87e526a120fce55464

Aliases

arxiv: 2007.06259 · arxiv_version: 2007.06259v1 · doi: 10.48550/arxiv.2007.06259 · pith_short_12: N3CXPN4RNW6R · pith_short_16: N3CXPN4RNW6R7MBN · pith_short_8: N3CXPN4R

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/N3CXPN4RNW6R7MBNUCX6NJ77IJ \
  | 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: 6ec577b7916dbd1fb02da0afe6a7ff4257237a2bc4a91d87e526a120fce55464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9010d48e77d41ecff074ff5a0ab496b12005aff05714da4cdba913ad55c239ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2020-07-13T09:24:32Z",
    "title_canon_sha256": "4e3f8d87a94d4fa66d192ed601645131ec020243ba2e619fc60c7e9f9e20eda0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.06259",
    "kind": "arxiv",
    "version": 1
  }
}