Pith Number

pith:MZ4KSOVV

pith:2026:MZ4KSOVVXOOXYXFZS5QIJCNQC6

not attested not anchored not stored refs pending

An integral formula for the inhomogeneous Jordan--von Neumann equation

Alexandra Paicu, Dorian Popa, Mircea Dan Rus

arxiv:2606.24565 v1 · 2026-06-23 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZ4KSOVVXOOXYXFZS5QIJCNQC6}

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	2026-06-24T01:15:34.056092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6678a93ab5bb9d7c5cb997608489b017a3a5a89eced103afa7d1bd794a52eb5e

Aliases

arxiv: 2606.24565 · arxiv_version: 2606.24565v1 · doi: 10.48550/arxiv.2606.24565 · pith_short_12: MZ4KSOVVXOOX · pith_short_16: MZ4KSOVVXOOXYXFZ · pith_short_8: MZ4KSOVV

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/MZ4KSOVVXOOXYXFZS5QIJCNQC6 \
  | 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: 6678a93ab5bb9d7c5cb997608489b017a3a5a89eced103afa7d1bd794a52eb5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7921e3aaa46416aab43bf11f6d04f14d944cee06422949db2278c1319fb8b372",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-23T13:33:40Z",
    "title_canon_sha256": "6e9288bd14c44e2816383a147c7e717f9c48773d34a4c8850fbbb2e5bbf23c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24565",
    "kind": "arxiv",
    "version": 1
  }
}