Pith Number

pith:EHFBNCOF

pith:2025:EHFBNCOFU4LKM5JXYCL3FVHDHQ

not attested not anchored not stored refs pending

The Hofstadter Butterfly: Bridging Condensed Matter, Topology, and Number Theory

Indubala Satija

arxiv:2507.13418 v1 · 2025-07-17 · cond-mat.mes-hall · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EHFBNCOFU4LKM5JXYCL3FVHDHQ}

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	2026-07-05T11:39:17.327361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21ca1689c5a716a67537c097b2d4e33c380d3e742e7a34e7c534152486a4a980

Aliases

arxiv: 2507.13418 · arxiv_version: 2507.13418v1 · doi: 10.48550/arxiv.2507.13418 · pith_short_12: EHFBNCOFU4LK · pith_short_16: EHFBNCOFU4LKM5JX · pith_short_8: EHFBNCOF

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/EHFBNCOFU4LKM5JXYCL3FVHDHQ \
  | 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: 21ca1689c5a716a67537c097b2d4e33c380d3e742e7a34e7c534152486a4a980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78350786e75a44568d454d2a67a7a32f79b3340f9d0ee9cc174a118c9664b350",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2025-07-17T13:28:26Z",
    "title_canon_sha256": "e8d6a2de99a02a674579490874f4c58ecd1c1611de8c1939fb84d22293e8a824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13418",
    "kind": "arxiv",
    "version": 1
  }
}