Pith Number

pith:TZDW7QU2

pith:2010:TZDW7QU2JOALAMRPOFWWYVBQ6P

not attested not anchored not stored refs pending

Eigenvalues of Laplacian with constant magnetic field on non-compact hyperbolic surfaces with finite area

Abderemane Morame (LMJL), Francoise Truc (IF)

arxiv:1004.5291 v2 · 2010-04-29 · math-ph · 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{TZDW7QU2JOALAMRPOFWWYVBQ6P}

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	2026-05-18T02:07:45.151841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e476fc29a4b80b0322f716d6c5430f3ceb931e2d8ad8ca809039ddc2f490f51

Aliases

arxiv: 1004.5291 · arxiv_version: 1004.5291v2 · doi: 10.48550/arxiv.1004.5291 · pith_short_12: TZDW7QU2JOAL · pith_short_16: TZDW7QU2JOALAMRP · pith_short_8: TZDW7QU2

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/TZDW7QU2JOALAMRPOFWWYVBQ6P \
  | 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: 9e476fc29a4b80b0322f716d6c5430f3ceb931e2d8ad8ca809039ddc2f490f51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49812e42ec3db622bd6ec751ce2e32c3b65f15b0f87e48c04a44d42b7400baa2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-29T13:58:22Z",
    "title_canon_sha256": "33b8f4d11ecac7557e655e72764a381c36f4da8df238ee3e57f17a00c6fda297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5291",
    "kind": "arxiv",
    "version": 2
  }
}