Pith Number

pith:7OS42LDK

pith:2026:7OS42LDKISEPTZ2G5UZFB2WYNV

not attested not anchored not stored refs pending

A Moser-Type Construction for the Liouville Equation

Alfio Borz\`i, Arianna Vicari, Marco Caponigro

arxiv:2603.21850 v2 · 2026-03-23 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OS42LDKISEPTZ2G5UZFB2WYNV}

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	2026-06-12T01:09:25.164238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba5cd2c6a4488f9e746ed3250ead86d575fd3ba029ebd90ba3b4d8c20b1f6c1

Aliases

arxiv: 2603.21850 · arxiv_version: 2603.21850v2 · doi: 10.48550/arxiv.2603.21850 · pith_short_12: 7OS42LDKISEP · pith_short_16: 7OS42LDKISEPTZ2G · pith_short_8: 7OS42LDK

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/7OS42LDKISEPTZ2G5UZFB2WYNV \
  | 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: fba5cd2c6a4488f9e746ed3250ead86d575fd3ba029ebd90ba3b4d8c20b1f6c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c6e725e274a1fb7d3597214dbbeb2bb7e0a56244798cc22d3c5e96f8855ddd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-03-23T11:39:22Z",
    "title_canon_sha256": "de4a34f7cf89acf9d95c6995c633577688117e307b8a39583a61938ee4172d93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.21850",
    "kind": "arxiv",
    "version": 2
  }
}