Pith Number

pith:V4RTB2LV

pith:2022:V4RTB2LV5MOOJMNY6IJHYFRGVB

not attested not anchored not stored refs pending

Topological Transitions with an Imaginary Aubry-Andre-Harper Potential

Bofeng Zhu, Li-Jun Lang, Qiang Wang, Qi Jie Wang, Y. D. Chong

arxiv:2211.07853 v2 · 2022-11-15 · quant-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4RTB2LV5MOOJMNY6IJHYFRGVB}

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	2026-07-05T09:24:50.085457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af2330e975eb1ce4b1b8f2127c1626a85456aa41c14edcf9dc3beec9c06127a6

Aliases

arxiv: 2211.07853 · arxiv_version: 2211.07853v2 · doi: 10.48550/arxiv.2211.07853 · pith_short_12: V4RTB2LV5MOO · pith_short_16: V4RTB2LV5MOOJMNY · pith_short_8: V4RTB2LV

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/V4RTB2LV5MOOJMNY6IJHYFRGVB \
  | 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: af2330e975eb1ce4b1b8f2127c1626a85456aa41c14edcf9dc3beec9c06127a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2399fb499980db098c9ad3ad5cb8202c09308b58bd7f21a6128d2c0fc9fc8cb",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-11-15T02:32:43Z",
    "title_canon_sha256": "54deb67112c35bdc241631f0c9d3ba3ad4adb98b92a0295bfeb5a7b386f4d99f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.07853",
    "kind": "arxiv",
    "version": 2
  }
}