Pith Number

pith:UUD2NLIX

pith:2025:UUD2NLIX6B2BIX7VGBGEWWTX6K

not attested not anchored not stored refs pending

Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications

Ivan Veselic, Martin Tautenhahn

arxiv:2505.16655 v1 · 2025-05-22 · math.AP · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUD2NLIX6B2BIX7VGBGEWWTX6K}

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	2026-07-05T11:07:38.540703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a507a6ad17f074145ff5304c4b5a77f2abd61a6e109c24307504984befb55e54

Aliases

arxiv: 2505.16655 · arxiv_version: 2505.16655v1 · doi: 10.48550/arxiv.2505.16655 · pith_short_12: UUD2NLIX6B2B · pith_short_16: UUD2NLIX6B2BIX7V · pith_short_8: UUD2NLIX

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/UUD2NLIX6B2BIX7VGBGEWWTX6K \
  | 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: a507a6ad17f074145ff5304c4b5a77f2abd61a6e109c24307504984befb55e54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0dc5c84bd2dba5043efe4858c61543c5ec1f1f0c7574f80e98312cd1ab94bd6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-22T13:21:28Z",
    "title_canon_sha256": "d16c9fabe67b674c2463cbc00d5ac076eb18a4711d658142e5c5331d22334ac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16655",
    "kind": "arxiv",
    "version": 1
  }
}