Pith Number

pith:PPKJCHVR

pith:2026:PPKJCHVRUEFT2VORV52C2RLF3I

not attested not anchored not stored refs pending

Zonal states and improved $L^\infty$ bounds for eigenfunctions of magnetic Laplacians on hyperbolic surfaces

Ambre Chabert, Thibault Lefeuvre

arxiv:2603.12177 v2 · 2026-03-12 · math.AP · math.DG · 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{PPKJCHVRUEFT2VORV52C2RLF3I}

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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.

Cited by

1 paper in Pith

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces

Receipt and verification

First computed	2026-08-12T01:21:38.462533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd4911eb1a10b3d55d1af742d4565da0ed31f65d50b7a76b18fa0a9372658a0

Aliases

arxiv: 2603.12177 · arxiv_version: 2603.12177v2 · doi: 10.48550/arxiv.2603.12177 · pith_short_12: PPKJCHVRUEFT · pith_short_16: PPKJCHVRUEFT2VOR · pith_short_8: PPKJCHVR

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/PPKJCHVRUEFT2VORV52C2RLF3I \
  | 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: 7bd4911eb1a10b3d55d1af742d4565da0ed31f65d50b7a76b18fa0a9372658a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82714d03a12eea25325328adb4335bb8fc7a02186432968a6f67cb6fa016d40e",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-03-12T17:09:26Z",
    "title_canon_sha256": "7e244fd1ccb57811d4dd121e2d5fb4a977c7260473cedc7c8e58bc89477ce2a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.12177",
    "kind": "arxiv",
    "version": 2
  }
}