Pith Number

pith:PAQYOX33

pith:2015:PAQYOX33J3B5VSS6XEUJO3A6BS

not attested not anchored not stored refs pending

Small scale equidistribution of eigenfunctions on the torus

Stephen Lester, Ze\'ev Rudnick

arxiv:1508.01074 v3 · 2015-08-05 · math.AP · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAQYOX33J3B5VSS6XEUJO3A6BS}

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	2026-05-18T01:08:13.115975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7821875f7b4ec3daca5eb928976c1e0c889bce97221b9c0805015a0f4a360db5

Aliases

arxiv: 1508.01074 · arxiv_version: 1508.01074v3 · doi: 10.48550/arxiv.1508.01074 · pith_short_12: PAQYOX33J3B5 · pith_short_16: PAQYOX33J3B5VSS6 · pith_short_8: PAQYOX33

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/PAQYOX33J3B5VSS6XEUJO3A6BS \
  | 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: 7821875f7b4ec3daca5eb928976c1e0c889bce97221b9c0805015a0f4a360db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c3346a7e8b358158ea1a3f03b56666114a7b22914292d9551d774c74239d1f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-05T13:53:04Z",
    "title_canon_sha256": "b776fafca774c68412b7768bf5e42ff7e456811163a2a2d5002bbc5ccd372da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01074",
    "kind": "arxiv",
    "version": 3
  }
}