Pith Number

pith:LTVS4MPT

pith:2025:LTVS4MPTDEY2OCHBXKI3QD2BXS

not attested not anchored not stored refs pending

Eigenfunctions with double exponential rate of localization

A.Logunov, F.Pagano, S.Krymskii

arxiv:2501.15354 v1 · 2025-01-26 · math.AP · math.CA · 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{LTVS4MPTDEY2OCHBXKI3QD2BXS}

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	2026-07-05T10:05:27.919435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ceb2e31f31931a708e1ba91b80f41bc98bc7f65dfc3778ced9c01e36f866bc7

Aliases

arxiv: 2501.15354 · arxiv_version: 2501.15354v1 · doi: 10.48550/arxiv.2501.15354 · pith_short_12: LTVS4MPTDEY2 · pith_short_16: LTVS4MPTDEY2OCHB · pith_short_8: LTVS4MPT

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/LTVS4MPTDEY2OCHBXKI3QD2BXS \
  | 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: 5ceb2e31f31931a708e1ba91b80f41bc98bc7f65dfc3778ced9c01e36f866bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3adba8e7e30b38f03f10879f6c484b1e76be1c2ebee8c1483bbe92bd0fa707a5",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-26T00:22:30Z",
    "title_canon_sha256": "221cd589de786099867c739dc961ffe7eeefffd5354429ef7bb23cd87774c910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15354",
    "kind": "arxiv",
    "version": 1
  }
}