Pith Number

pith:P6GQCH5L

pith:2026:P6GQCH5LVHYK3ZMAIISEDAB4XV

not attested not anchored not stored refs pending

The Tricomi equation in the hyperbolic half plane under additive space-time Gaussian White Noise perturbation

Alberto Lanconelli, Enrico Bernardi

arxiv:2606.04950 v1 · 2026-06-03 · math.PR · 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{P6GQCH5LVHYK3ZMAIISEDAB4XV}

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	2026-06-04T01:09:57.601259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f8d011faba9f0ade580422441803cbd5871d399745260d6c8a1394e9c2a3c3d

Aliases

arxiv: 2606.04950 · arxiv_version: 2606.04950v1 · doi: 10.48550/arxiv.2606.04950 · pith_short_12: P6GQCH5LVHYK · pith_short_16: P6GQCH5LVHYK3ZMA · pith_short_8: P6GQCH5L

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/P6GQCH5LVHYK3ZMAIISEDAB4XV \
  | 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: 7f8d011faba9f0ade580422441803cbd5871d399745260d6c8a1394e9c2a3c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d128013c314a6b0b7ee5b03dce51f225717e761571693506297e5b8db6789c96",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-03T14:39:15Z",
    "title_canon_sha256": "d07e92ec489be703f1ad2d63e24b9f991a463818ec9c67c72c8e6cf9601dda53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04950",
    "kind": "arxiv",
    "version": 1
  }
}