Pith Number

pith:BMI72DEN

pith:2021:BMI72DENRZPJA5CSGPCDMRDQXJ

not attested not anchored not stored refs pending

Hyperbolic Band Theory under Magnetic Field and Dirac Cones on a Higher Genus Surface

Kazuki Ikeda, Shoto Aoki, Yoshiyuki Matsuki

arxiv:2104.13314 v4 · 2021-04-27 · cond-mat.mes-hall · hep-th · math-ph · math.AG · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMI72DENRZPJA5CSGPCDMRDQXJ}

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	2026-07-05T07:49:27.677091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b11fd0c8d8e5e90745233c4364470ba7e680225949e5535dc742d2ef69d91f9

Aliases

arxiv: 2104.13314 · arxiv_version: 2104.13314v4 · doi: 10.48550/arxiv.2104.13314 · pith_short_12: BMI72DENRZPJ · pith_short_16: BMI72DENRZPJA5CS · pith_short_8: BMI72DEN

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/BMI72DENRZPJA5CSGPCDMRDQXJ \
  | 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: 0b11fd0c8d8e5e90745233c4364470ba7e680225949e5535dc742d2ef69d91f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edcd36ebdfc8045a7abadb98ec56e9cb94a6375ddabc728a516857a0a4cdfa3e",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AG",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2021-04-27T16:39:55Z",
    "title_canon_sha256": "3bb23822ecc032d7a4416942055bc6412fdf60b342ffbadb4f73b02f62d49785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.13314",
    "kind": "arxiv",
    "version": 4
  }
}