Pith Number

pith:P6PYG5UD

pith:2024:P6PYG5UDF7GXJIW7DFRHDS3UPY

not attested not anchored not stored refs pending

Spectral gap for random Schottky surfaces

Fr\'ed\'eric Naud, Irving Calder\'on, Michael Magee

arxiv:2407.21506 v1 · 2024-07-31 · math.SP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6PYG5UDF7GXJIW7DFRHDS3UPY}

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

Bass notes of random hyperbolic surfaces of large genus

Receipt and verification

First computed	2026-07-05T08:50:39.945745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f9f8376832fcd74a2df196271cb747e25401b9f724c9b3b02c50f5a349717e5

Aliases

arxiv: 2407.21506 · arxiv_version: 2407.21506v1 · doi: 10.48550/arxiv.2407.21506 · pith_short_12: P6PYG5UDF7GX · pith_short_16: P6PYG5UDF7GXJIW7 · pith_short_8: P6PYG5UD

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/P6PYG5UDF7GXJIW7DFRHDS3UPY \
  | 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: 7f9f8376832fcd74a2df196271cb747e25401b9f724c9b3b02c50f5a349717e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c7b14ea84ac94471230e348c178857a25f4eeb9dc661a9888e9d5e487ea9b0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-07-31T10:23:45Z",
    "title_canon_sha256": "f292fa59b8a347b20ed782bc4681575bd4d20171c5c91e4a038557c3107db526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.21506",
    "kind": "arxiv",
    "version": 1
  }
}