Pith Number

pith:OKGQTL2D

pith:2020:OKGQTL2DRJC4FSRIO4KAEI4SFJ

not attested not anchored not stored refs pending

Duality between two generalized Aubry-Andre models with exact mobility edges

Xiong-jun Liu, Xu Xia, Yongjian Wang, Yucheng Wang, Zuohuan Zheng

arxiv:2012.09756 v3 · 2020-12-17 · 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{OKGQTL2DRJC4FSRIO4KAEI4SFJ}

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	2026-07-05T02:43:14.010802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

728d09af438a45c2ca2877140223922a7692546b9f86684776eaf39bcd9a0c3b

Aliases

arxiv: 2012.09756 · arxiv_version: 2012.09756v3 · doi: 10.48550/arxiv.2012.09756 · pith_short_12: OKGQTL2DRJC4 · pith_short_16: OKGQTL2DRJC4FSRI · pith_short_8: OKGQTL2D

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/OKGQTL2DRJC4FSRIO4KAEI4SFJ \
  | 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: 728d09af438a45c2ca2877140223922a7692546b9f86684776eaf39bcd9a0c3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "928752653bffd1b59711a75d7949ad1d023027f321d1a257e21fb0f4c04476df",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2020-12-17T17:15:41Z",
    "title_canon_sha256": "9f0eb063cf9b04a54f41ac2eb536b5628ee8ea7a18b998c9fe854e08297b9dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.09756",
    "kind": "arxiv",
    "version": 3
  }
}