Pith Number

pith:32OTN26H

pith:2006:32OTN26HF7WBMZAVUBRJP774OZ

not attested not anchored not stored refs pending

On the $L^p$ norm of spectral clusters for compact manifolds with boundary

Christopher D. Sogge, Hart F. Smith

arxiv:math/0605682 v1 · 2006-05-26 · 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{32OTN26HF7WBMZAVUBRJP774OZ}

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	2026-05-18T03:35:14.577478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9d36ebc72fec166415a06297fffc766fa14623450fc9dfda0fe6dcc5e5d7dd

Aliases

arxiv: math/0605682 · arxiv_version: math/0605682v1 · doi: 10.48550/arxiv.math/0605682 · pith_short_12: 32OTN26HF7WB · pith_short_16: 32OTN26HF7WBMZAV · pith_short_8: 32OTN26H

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/32OTN26HF7WBMZAVUBRJP774OZ \
  | 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: de9d36ebc72fec166415a06297fffc766fa14623450fc9dfda0fe6dcc5e5d7dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d4974b1500e9aaafe026127ebd8ce4bc08122be42749ea54258ae015f4a8e0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-05-26T13:42:45Z",
    "title_canon_sha256": "0ac0a3618523f35c909ac8b57996af2556ab2287f329aaec246c92d469b04468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605682",
    "kind": "arxiv",
    "version": 1
  }
}