Pith Number

pith:LZJORV7Q

pith:2025:LZJORV7QHJPLU6VRCAS7VK6XIV

not attested not anchored not stored refs pending

A nonvariational Neumann problem for the Helmholtz equation

M. Lanza de Cristoforis

arxiv:2504.18252 v3 · 2025-04-25 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZJORV7QHJPLU6VRCAS7VK6XIV}

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	2026-07-05T11:26:03.961267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e52e8d7f03a5eba7ab11025faabd74569760c669d13374c160ef87bf25f2708

Aliases

arxiv: 2504.18252 · arxiv_version: 2504.18252v3 · doi: 10.48550/arxiv.2504.18252 · pith_short_12: LZJORV7QHJPL · pith_short_16: LZJORV7QHJPLU6VR · pith_short_8: LZJORV7Q

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/LZJORV7QHJPLU6VRCAS7VK6XIV \
  | 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: 5e52e8d7f03a5eba7ab11025faabd74569760c669d13374c160ef87bf25f2708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4d96d720622d7a05cb38959d59ba37893b74aef06b1cd70050e7677366d8cb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-25T10:52:00Z",
    "title_canon_sha256": "32b5323197d13b82d3fb757fd04b29a27976421c4bedab40b2b38ea2928b9cea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.18252",
    "kind": "arxiv",
    "version": 3
  }
}