Pith Number

pith:4YDGZBKA

pith:2011:4YDGZBKAIVQO35II6UREQNZV64

not attested not anchored not stored refs pending

Discrete Spectrum of Quantum Hall Effect Hamiltonians II. Periodic Edge Potentials

Georgi Raikov, Pablo Miranda

arxiv:1101.1079 v3 · 2011-01-05 · math-ph · math.AP · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YDGZBKAIVQO35II6UREQNZV64}

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	2026-05-18T04:21:10.585894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6066c85404560edf508f522483735f70dc82631efc2f8b6aae6de7bc440364a

Aliases

arxiv: 1101.1079 · arxiv_version: 1101.1079v3 · doi: 10.48550/arxiv.1101.1079 · pith_short_12: 4YDGZBKAIVQO · pith_short_16: 4YDGZBKAIVQO35II · pith_short_8: 4YDGZBKA

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/4YDGZBKAIVQO35II6UREQNZV64 \
  | 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: e6066c85404560edf508f522483735f70dc82631efc2f8b6aae6de7bc440364a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed332572ca84e7f79a5274719568f2ca4e145ecec459dbe562a4ec57992739d",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-05T20:57:04Z",
    "title_canon_sha256": "165e27b193e508fc8861135d12c47e9da506ee4b2859baaf0f44f6182d3d33b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1079",
    "kind": "arxiv",
    "version": 3
  }
}