Pith Number

pith:UNM7L63R

pith:2018:UNM7L63R2CW5YNSG5BCZKAKIU7

not attested not anchored not stored refs pending

On Pointwise Products of Elliptic Eigenfunctions

Jianfeng Lu, Stefan Steinerberger

arxiv:1810.01024 v2 · 2018-10-02 · math.SP · math.AP · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UNM7L63R2CW5YNSG5BCZKAKIU7}

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	2026-05-17T23:59:49.405174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a359f5fb71d0addc3646e845950148a7f60b37c5d098adb657f8e76423417142

Aliases

arxiv: 1810.01024 · arxiv_version: 1810.01024v2 · doi: 10.48550/arxiv.1810.01024 · pith_short_12: UNM7L63R2CW5 · pith_short_16: UNM7L63R2CW5YNSG · pith_short_8: UNM7L63R

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/UNM7L63R2CW5YNSG5BCZKAKIU7 \
  | 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: a359f5fb71d0addc3646e845950148a7f60b37c5d098adb657f8e76423417142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caf7e0526c148ab9b0e34c550c5a144b1fbb9cd3a65264df493273730e1836e0",
    "cross_cats_sorted": [
      "math.AP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-10-02T00:53:32Z",
    "title_canon_sha256": "d4bc7ea4e609e3e5cb359520671dabd25bc753c3a3fdc1295de12298d823509b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01024",
    "kind": "arxiv",
    "version": 2
  }
}