Pith Number

pith:OG7OG2CU

pith:2010:OG7OG2CUAHLROCXSDIU3A7HL3Z

not attested not anchored not stored refs pending

Fractality of Hofstadter Butterfly in Specific Heat Oscillation

L. P. Yang, M. P. Qin, T. Xiang, W. H. Xu

arxiv:1009.5751 v1 · 2010-09-29 · cond-mat.str-el · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OG7OG2CUAHLROCXSDIU3A7HL3Z}

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	2026-05-18T01:23:31.813702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71bee3685401d7170af21a29b07cebde6de52a10b207dec4db7e5282a1609d8f

Aliases

arxiv: 1009.5751 · arxiv_version: 1009.5751v1 · doi: 10.48550/arxiv.1009.5751 · pith_short_12: OG7OG2CUAHLR · pith_short_16: OG7OG2CUAHLROCXS · pith_short_8: OG7OG2CU

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/OG7OG2CUAHLROCXSDIU3A7HL3Z \
  | 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: 71bee3685401d7170af21a29b07cebde6de52a10b207dec4db7e5282a1609d8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "833bd10d6ffad80cba43ece2fc3c8580aaff83a046f30c947b9d7492396ea4c6",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-09-29T02:17:00Z",
    "title_canon_sha256": "0d57c19c9ad61627d772aed98276bea5aa1c4cba9c08122df900ed58ab5b6a91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5751",
    "kind": "arxiv",
    "version": 1
  }
}