Pith Number

pith:V36JWMHV

pith:2025:V36JWMHVRQSMSK5PDFTTC26DRY

not attested not anchored not stored refs pending

Spectral gap of random covers of negatively curved noncompact surfaces

Julien Moy

arxiv:2505.07056 v1 · 2025-05-11 · 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{V36JWMHVRQSMSK5PDFTTC26DRY}

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

1 paper in Pith

On the spectral stability of finite coverings

Receipt and verification

First computed	2026-07-05T11:01:41.256989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aefc9b30f58c24c92baf1967316bc38e2455c4c8e691bcc8665583490004f2f6

Aliases

arxiv: 2505.07056 · arxiv_version: 2505.07056v1 · doi: 10.48550/arxiv.2505.07056 · pith_short_12: V36JWMHVRQSM · pith_short_16: V36JWMHVRQSMSK5P · pith_short_8: V36JWMHV

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/V36JWMHVRQSMSK5PDFTTC26DRY \
  | 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: aefc9b30f58c24c92baf1967316bc38e2455c4c8e691bcc8665583490004f2f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6872a676b89706c52c432925fba39b62d003cc7561d24b89eb72f7d36412eee5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-05-11T17:00:35Z",
    "title_canon_sha256": "989c64a9bcf2e92ab4cbe3f142a0fd7f9a8abf94582029229d685676ab259f2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07056",
    "kind": "arxiv",
    "version": 1
  }
}