Pith Number

pith:ZZMZIZC6

pith:2024:ZZMZIZC6ZOFIKEMDMF3LCQ654N

not attested not anchored not stored refs pending

The Landis conjecture via Liouville comparison principle and criticality theory

Ujjal Das, Yehuda Pinchover

arxiv:2405.11695 v1 · 2024-05-19 · math.AP · math-ph · math.CA · math.FA · 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{ZZMZIZC6ZOFIKEMDMF3LCQ654N}

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

1 paper in Pith

An optimal fractional Hardy inequality on the discrete half-line

Receipt and verification

First computed	2026-07-05T08:20:43.147079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce5994645ecb8a8511836176b143dde375e50205b965e4fafc7cdc664acd99e8

Aliases

arxiv: 2405.11695 · arxiv_version: 2405.11695v1 · doi: 10.48550/arxiv.2405.11695 · pith_short_12: ZZMZIZC6ZOFI · pith_short_16: ZZMZIZC6ZOFIKEMD · pith_short_8: ZZMZIZC6

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/ZZMZIZC6ZOFIKEMDMF3LCQ654N \
  | 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: ce5994645ecb8a8511836176b143dde375e50205b965e4fafc7cdc664acd99e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fec03edfbbadcb45c34374c065901495bffc8809ad2435fec06fa8fafd6d364",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-05-19T22:58:22Z",
    "title_canon_sha256": "547080d088bbd7e6e24b384255c0adbf31faeb65210a1db6e971a4ff9080f3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.11695",
    "kind": "arxiv",
    "version": 1
  }
}