Pith Number

pith:74LGRM33

pith:2013:74LGRM33VNI32Y7CAU6DWRXRBD

not attested not anchored not stored refs pending

Topological Zero-Energy Modes in Gapless Commensurate Aubry-Andr\'e-Harper Models

Kai Sun, S. Das Sarma, Sriram Ganeshan

arxiv:1301.5639 v2 · 2013-01-23 · cond-mat.mes-hall · 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{74LGRM33VNI32Y7CAU6DWRXRBD}

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	2026-05-18T03:26:40.903637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff1668b37bab51bd63e2053c3b46f108e57789214ced794925dbdb6982669454

Aliases

arxiv: 1301.5639 · arxiv_version: 1301.5639v2 · doi: 10.48550/arxiv.1301.5639 · pith_short_12: 74LGRM33VNI3 · pith_short_16: 74LGRM33VNI32Y7C · pith_short_8: 74LGRM33

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/74LGRM33VNI32Y7CAU6DWRXRBD \
  | 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: ff1668b37bab51bd63e2053c3b46f108e57789214ced794925dbdb6982669454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ff52f6d92e1474cca04c5bd4e88748b4f8f3a6e540f0eababab923263a9ef1",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2013-01-23T21:00:02Z",
    "title_canon_sha256": "7c3c52668586655056216fb4a0d90d8a52fa91e494aca10d895143b84a6d5436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5639",
    "kind": "arxiv",
    "version": 2
  }
}