Pith Number

pith:Y7SOEC56

pith:2016:Y7SOEC564PVOL6RN7VI7WXHOAC

not attested not anchored not stored refs pending

C-infinity Scaling Asymptotics for the Spectral Function of the Laplacian

Boris Hanin, Yaiza Canzani

arxiv:1602.00730 v1 · 2016-02-01 · math.AP · math-ph · math.DG · math.FA · math.MP · 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{Y7SOEC564PVOL6RN7VI7WXHOAC}

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	2026-05-18T01:21:24.788423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7e4e20bbee3eae5fa2dfd51fb5cee008ab521b2d9d782d53677bc979a104bd7

Aliases

arxiv: 1602.00730 · arxiv_version: 1602.00730v1 · doi: 10.48550/arxiv.1602.00730 · pith_short_12: Y7SOEC564PVO · pith_short_16: Y7SOEC564PVOL6RN · pith_short_8: Y7SOEC56

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/Y7SOEC564PVOL6RN7VI7WXHOAC \
  | 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: c7e4e20bbee3eae5fa2dfd51fb5cee008ab521b2d9d782d53677bc979a104bd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02edd4231787c7e9523ba32c296e0077fbd317dd729ee0e3e147496e59206d2c",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-01T22:23:18Z",
    "title_canon_sha256": "5555038cb0d949bd5a2e1447e202473aa4a6318817c8ebbdd8f5eda16008dd02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00730",
    "kind": "arxiv",
    "version": 1
  }
}