Pith Number

pith:QL2WIGY3

pith:2026:QL2WIGY3ABHN3ZAP7BFOIMHEIM

not attested not anchored not stored refs pending

Flux-explicit Cheeger bounds for magnetic Laplacians on compact metric graphs

Bj\"orn Dahlke

arxiv:2606.12453 v1 · 2026-06-05 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QL2WIGY3ABHN3ZAP7BFOIMHEIM}

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	2026-06-12T00:07:51.135153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82f5641b1b004edde40ff84ae430e44336d64cd1805a45182aaea5ddb4367a5b

Aliases

arxiv: 2606.12453 · arxiv_version: 2606.12453v1 · doi: 10.48550/arxiv.2606.12453 · pith_short_12: QL2WIGY3ABHN · pith_short_16: QL2WIGY3ABHN3ZAP · pith_short_8: QL2WIGY3

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/QL2WIGY3ABHN3ZAP7BFOIMHEIM \
  | 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: 82f5641b1b004edde40ff84ae430e44336d64cd1805a45182aaea5ddb4367a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4769e89bdecc93072849f0c499e400b3aadcb89ede60869ce12f03add3a3302a",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-05T09:34:46Z",
    "title_canon_sha256": "3f67be0f66ee8e9d33e50ecca87fd93a983b485fbea6ecd44283cd7e93c23858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12453",
    "kind": "arxiv",
    "version": 1
  }
}