Pith Number

pith:EXU3ZXXZ

pith:2025:EXU3ZXXZFXL6MBP27MFGN3B6MJ

not attested not anchored not stored refs pending

Critical properties in the non-Hermitian Aubry-Andre-Stark model

Dan-Wei Zhang, En-Wen Liang, Guo-Qing Zhang, Ji-Long Dong, Ling-Zhi Tang, Shi-Yang Liu

arxiv:2501.03777 v2 · 2025-01-07 · quant-ph · cond-mat.dis-nn · cond-mat.mes-hall · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXU3ZXXZFXL6MBP27MFGN3B6MJ}

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	2026-07-05T11:10:50.287171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25e9bcdef92dd7e605fafb0a66ec3e625721d0996065db49732f3fc5323f5c8f

Aliases

arxiv: 2501.03777 · arxiv_version: 2501.03777v2 · doi: 10.48550/arxiv.2501.03777 · pith_short_12: EXU3ZXXZFXL6 · pith_short_16: EXU3ZXXZFXL6MBP2 · pith_short_8: EXU3ZXXZ

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/EXU3ZXXZFXL6MBP27MFGN3B6MJ \
  | 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: 25e9bcdef92dd7e605fafb0a66ec3e625721d0996065db49732f3fc5323f5c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53508e3a90df52cef3069f26de38b7ffcaf3ac6335ef5455a3f7b399210cbe3d",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.mes-hall",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-01-07T13:35:31Z",
    "title_canon_sha256": "9b132ba5a0457cabd9e49f9e4b1af7f9ff79f1ace6f49fd8b38833b298e8ba02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.03777",
    "kind": "arxiv",
    "version": 2
  }
}