Pith Number

pith:QBM22CCH

pith:2024:QBM22CCHDK5XUMCUQZBITMXGFC

not attested not anchored not stored refs pending

Geometric spectral optimization on surfaces

Romain Petrides

arxiv:2410.13347 v1 · 2024-10-17 · math.DG · math.AP · math.FA · 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{QBM22CCHDK5XUMCUQZBITMXGFC}

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.

Cited by

2 papers in Pith

Eigenvalue optimization via a first-variation formula

Conformally critical metrics and optimal bounds for Dirac eigenvalues on spin surfaces

Receipt and verification

First computed	2026-07-05T09:21:59.065402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8059ad08471abb7a3054864289b2e62883609489fc8578aaffa2c55bbd385431

Aliases

arxiv: 2410.13347 · arxiv_version: 2410.13347v1 · doi: 10.48550/arxiv.2410.13347 · pith_short_12: QBM22CCHDK5X · pith_short_16: QBM22CCHDK5XUMCU · pith_short_8: QBM22CCH

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/QBM22CCHDK5XUMCUQZBITMXGFC \
  | 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: 8059ad08471abb7a3054864289b2e62883609489fc8578aaffa2c55bbd385431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d7d6214576febe9fae08fb1bc4c2eaca0f244118a0dc1fb15744867f03dbc4e",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-10-17T08:57:15Z",
    "title_canon_sha256": "41cebb9edd7adc3f450864d13df283b2325c7d0d77e0c57955b5eeb1fcff49ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.13347",
    "kind": "arxiv",
    "version": 1
  }
}