Pith Number

pith:WL7JM6NT

pith:2024:WL7JM6NTNX7O5FDO5TH5RJKHCG

not attested not anchored not stored refs pending

Necessary and sufficient conditions for universality limits

Benjamin Eichinger, Harald Woracek, Milivoje Luki\'c

arxiv:2409.18045 v1 · 2024-09-26 · math.CA · math-ph · math.CV · math.MP · 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{WL7JM6NTNX7O5FDO5TH5RJKHCG}

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.

Cited by

3 papers in Pith

Clock spacing for two-sided Jacobi matrices

Superdirectivity as a Spectral-Collision RKHS Limit

Clock spacing for two-sided Jacobi matrices

Receipt and verification

First computed	2026-07-05T09:12:19.738932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2fe9679b36dfeee946eeccfd8a54711bd8e1c9b468af8174405fc23079c3873

Aliases

arxiv: 2409.18045 · arxiv_version: 2409.18045v1 · doi: 10.48550/arxiv.2409.18045 · pith_short_12: WL7JM6NTNX7O · pith_short_16: WL7JM6NTNX7O5FDO · pith_short_8: WL7JM6NT

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/WL7JM6NTNX7O5FDO5TH5RJKHCG \
  | 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: b2fe9679b36dfeee946eeccfd8a54711bd8e1c9b468af8174405fc23079c3873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21ee090a911d42c857dcce9d22edc9a0771118e55113a4e621463678aab7b036",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-09-26T16:47:29Z",
    "title_canon_sha256": "acce7134f06ece3b10277ab1a69999051458a77df8136d4aa19b0053c809185d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.18045",
    "kind": "arxiv",
    "version": 1
  }
}