Pith Number

pith:XJLBDY6T

pith:2009:XJLBDY6TDUIA57ERN5TLNQYB2P

not attested not anchored not stored refs pending

Variational Approach for the Effects of Periodic Modulations on the Spectrum of Massless Dirac Fermion

A. Mogulkoc, B. S. Kandemir

arxiv:0911.1143 v3 · 2009-11-05 · cond-mat.mes-hall · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJLBDY6TDUIA57ERN5TLNQYB2P}

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	2026-05-18T02:34:11.814637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba5611e3d31d100efc916f66b6c301d3ccdb528e655f3d3e08fbd71ad23ab650

Aliases

arxiv: 0911.1143 · arxiv_version: 0911.1143v3 · doi: 10.48550/arxiv.0911.1143 · pith_short_12: XJLBDY6TDUIA · pith_short_16: XJLBDY6TDUIA57ER · pith_short_8: XJLBDY6T

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/XJLBDY6TDUIA57ERN5TLNQYB2P \
  | 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: ba5611e3d31d100efc916f66b6c301d3ccdb528e655f3d3e08fbd71ad23ab650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb868a4300e7abb1efa6d157e03f8fa905e02e8542172cfe07bf14846b4bfab",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2009-11-05T22:16:18Z",
    "title_canon_sha256": "5479cecb29ca0c9d2038f8a1620c0b6e7e9de58611651553fb1fcca174179809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1143",
    "kind": "arxiv",
    "version": 3
  }
}