Pith Number

pith:MISBTWFK

pith:2021:MISBTWFKP67XEEIMKYLCKZATGN

not attested not anchored not stored refs pending

Phase transitions in a non-Hermitian Aubry-Andr\'e-Harper model

Stefano Longhi

arxiv:2102.09214 v1 · 2021-02-18 · cond-mat.dis-nn · 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{MISBTWFKP67XEEIMKYLCKZATGN}

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	2026-07-05T02:26:29.050572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

622419d8aa7fbf72110c5616256413336128c7ae9dbde0104abc24e880ef0ab6

Aliases

arxiv: 2102.09214 · arxiv_version: 2102.09214v1 · doi: 10.48550/arxiv.2102.09214 · pith_short_12: MISBTWFKP67X · pith_short_16: MISBTWFKP67XEEIM · pith_short_8: MISBTWFK

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/MISBTWFKP67XEEIMKYLCKZATGN \
  | 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: 622419d8aa7fbf72110c5616256413336128c7ae9dbde0104abc24e880ef0ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0069a86ce78505edb4bd63769cc532e7555649d04b03bbf333a0ba69ef941d7",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2021-02-18T08:27:10Z",
    "title_canon_sha256": "8ba9819962b321f42dbaceaab0e97af29cd6ce1885ba01a9eb515259d033609d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09214",
    "kind": "arxiv",
    "version": 1
  }
}