Pith Number

pith:ATEF2QK5

pith:2025:ATEF2QK5P7LAWKROXTMAO26NYP

not attested not anchored not stored refs pending

A uniqueness theorem for nonvariational solutions of the Helmholtz equation

M. Lanza de Cristoforis

arxiv:2504.11487 v1 · 2025-04-14 · 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{ATEF2QK5P7LAWKROXTMAO26NYP}

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	2026-07-05T10:49:35.958779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c85d415d7fd60b2a2ebcd8076bcdc3c279fe77000144f5ad84b6c0db834fe6

Aliases

arxiv: 2504.11487 · arxiv_version: 2504.11487v1 · doi: 10.48550/arxiv.2504.11487 · pith_short_12: ATEF2QK5P7LA · pith_short_16: ATEF2QK5P7LAWKRO · pith_short_8: ATEF2QK5

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/ATEF2QK5P7LAWKROXTMAO26NYP \
  | 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: 04c85d415d7fd60b2a2ebcd8076bcdc3c279fe77000144f5ad84b6c0db834fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b4400c7ff8e83ab53989021864f603c3810fd10c5060a7a5bab8c47e96467dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-14T16:37:11Z",
    "title_canon_sha256": "67f390c7a44625a5e882707942bf36febcac46aecb8fde8c7d0eb9910fe03dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.11487",
    "kind": "arxiv",
    "version": 1
  }
}