Pith Number

pith:RKKTA5BA

pith:2002:RKKTA5BAZXKYRVTA6LP5SG5O4G

not attested not anchored not stored refs pending

L^p norms of eigenfunctions in the completely integrable case

John A. Toth, Steve Zelditch

arxiv:math/0208045 v1 · 2002-08-06 · 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{RKKTA5BAZXKYRVTA6LP5SG5O4G}

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	2026-05-18T00:57:18.944494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a95307420cdd588d660f2dfd91baee1808105581dc6853bb08b1692cc16b0ea

Aliases

arxiv: math/0208045 · arxiv_version: math/0208045v1 · doi: 10.48550/arxiv.math/0208045 · pith_short_12: RKKTA5BAZXKY · pith_short_16: RKKTA5BAZXKYRVTA · pith_short_8: RKKTA5BA

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/RKKTA5BAZXKYRVTA6LP5SG5O4G \
  | 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: 8a95307420cdd588d660f2dfd91baee1808105581dc6853bb08b1692cc16b0ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c16eb3487e6976d333549794c2546a5f12277d32a57a977d31eb0b0b4cd3412",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2002-08-06T19:51:19Z",
    "title_canon_sha256": "d86d4a9f21b0bbe94efd1251b405bb01146c5213e7a57b535cd356f535bca89d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208045",
    "kind": "arxiv",
    "version": 1
  }
}