Pith Number

pith:3JAFD7YR

pith:2010:3JAFD7YRKWIHLA4PF5WEKA5B7L

not attested not anchored not stored refs pending

Holstein magneto-polarons: from Landau levels to Hofstadter butterflies

Mona Berciu

arxiv:1011.1965 v1 · 2010-11-09 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JAFD7YRKWIHLA4PF5WEKA5B7L}

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	2026-05-18T02:04:50.150943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4051ff11559075838f2f6c4503a1fae18986015373c33b63560771a147ae38

Aliases

arxiv: 1011.1965 · arxiv_version: 1011.1965v1 · doi: 10.48550/arxiv.1011.1965 · pith_short_12: 3JAFD7YRKWIH · pith_short_16: 3JAFD7YRKWIHLA4P · pith_short_8: 3JAFD7YR

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/3JAFD7YRKWIHLA4PF5WEKA5B7L \
  | 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: da4051ff11559075838f2f6c4503a1fae18986015373c33b63560771a147ae38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aadf79c39a990a1c2eae23e4b2269b950b5489a5d92cb722925d6c74a4e6686",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-11-09T03:17:55Z",
    "title_canon_sha256": "3a039b0cdc52868612713fb996b72a7b9d0bfa56a5f36514094669f24bceeb3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1965",
    "kind": "arxiv",
    "version": 1
  }
}