Pith Number

pith:GALLNABL

pith:2015:GALLNABLPVVLD4DSTEYTIHW3SM

not attested not anchored not stored refs pending

Average $L^q$ growth and nodal sets of eigenfunctions of the Laplacian on surfaces

Guillaume Roy-Fortin

arxiv:1510.02376 v1 · 2015-10-08 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GALLNABLPVVLD4DSTEYTIHW3SM}

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	2026-05-18T01:30:43.947487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3016b6802b7d6ab1f0729931341edb9332e5bbd58e0549825df21380e473a77e

Aliases

arxiv: 1510.02376 · arxiv_version: 1510.02376v1 · doi: 10.48550/arxiv.1510.02376 · pith_short_12: GALLNABLPVVL · pith_short_16: GALLNABLPVVLD4DS · pith_short_8: GALLNABL

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/GALLNABLPVVLD4DSTEYTIHW3SM \
  | 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: 3016b6802b7d6ab1f0729931341edb9332e5bbd58e0549825df21380e473a77e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dcd4fe7600b659527420cd7f10dab31df543879761cc3afacc6b75a8546d183",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-10-08T15:57:36Z",
    "title_canon_sha256": "595c11a472afccb3839b575f795a6bb126cc3296ce9e6e97577ffaf45a94af10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02376",
    "kind": "arxiv",
    "version": 1
  }
}