Pith Number

pith:OVPKIH47

pith:2015:OVPKIH47ZIWDBQ565JHUQKOVZR

not attested not anchored not stored refs pending

Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians

Carsten Lange, Norbert Peyerimhoff, Olaf Post, Shiping Liu

arxiv:1502.06299 v3 · 2015-02-23 · math.SP · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVPKIH47ZIWDBQ565JHUQKOVZR}

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	2026-05-17T23:49:44.602916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

755ea41f9fca2c30c3beea4f4829d5cc45728f7c5713d6c114508d7b64fb40ec

Aliases

arxiv: 1502.06299 · arxiv_version: 1502.06299v3 · doi: 10.48550/arxiv.1502.06299 · pith_short_12: OVPKIH47ZIWD · pith_short_16: OVPKIH47ZIWDBQ56 · pith_short_8: OVPKIH47

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/OVPKIH47ZIWDBQ565JHUQKOVZR \
  | 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: 755ea41f9fca2c30c3beea4f4829d5cc45728f7c5713d6c114508d7b64fb40ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7772ed72dd6156f1187e66ce40832462a58cbce4b9be8a30f4d70a049bf6e432",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-02-23T01:04:18Z",
    "title_canon_sha256": "35da6a3689e3bf629d250554392e9290a294a6c52472a93d8748d25fc85afbc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06299",
    "kind": "arxiv",
    "version": 3
  }
}