Pith Number

pith:KW7NLTRN

pith:2017:KW7NLTRN6FLBYPPTF2EEFPJNX3

not attested not anchored not stored refs pending

Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold

Kei Funano, Yohei Sakurai

arxiv:1712.09084 v2 · 2017-12-25 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KW7NLTRN6FLBYPPTF2EEFPJNX3}

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	2026-05-17T23:56:38.872979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55bed5ce2df1561c3df32e8842bd2dbecbafbdc2fc8b524e0595eaefc38d4cda

Aliases

arxiv: 1712.09084 · arxiv_version: 1712.09084v2 · doi: 10.48550/arxiv.1712.09084 · pith_short_12: KW7NLTRN6FLB · pith_short_16: KW7NLTRN6FLBYPPT · pith_short_8: KW7NLTRN

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/KW7NLTRN6FLBYPPTF2EEFPJNX3 \
  | 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: 55bed5ce2df1561c3df32e8842bd2dbecbafbdc2fc8b524e0595eaefc38d4cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc2e06974b0c27bb6414f513e9f360b625c49ffa369b8edbe6ada0004e46e4b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-25T15:04:23Z",
    "title_canon_sha256": "72d6034517df0bba106bda9a9d9282d52699de7153175f22a1508894b03a20a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09084",
    "kind": "arxiv",
    "version": 2
  }
}