Pith Number

pith:XOHPRVAQ

pith:2018:XOHPRVAQWYCLMKDYJVDD42AGJX

not attested not anchored not stored refs pending

Maximal solution of the Liouville equation in doubly connected domains

Angela Pistoia, Giusi Vaira, Michal Kowalczyk

arxiv:1808.00127 v1 · 2018-08-01 · 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{XOHPRVAQWYCLMKDYJVDD42AGJX}

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	2026-05-18T00:09:08.698455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb8ef8d410b604b628784d463e68064ddf19a63977cfd7e2017fc4d8affaa851

Aliases

arxiv: 1808.00127 · arxiv_version: 1808.00127v1 · doi: 10.48550/arxiv.1808.00127 · pith_short_12: XOHPRVAQWYCL · pith_short_16: XOHPRVAQWYCLMKDY · pith_short_8: XOHPRVAQ

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/XOHPRVAQWYCLMKDYJVDD42AGJX \
  | 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: bb8ef8d410b604b628784d463e68064ddf19a63977cfd7e2017fc4d8affaa851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82771dde7c1fe329e2bf81e2684eef43a452c99d860c23b360b14e0b7316627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-01T01:09:07Z",
    "title_canon_sha256": "52f5d86b2f42ccb08eab60bc0cea1adff2b33e567c8cdfb2f0a08bd51b5e2fc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00127",
    "kind": "arxiv",
    "version": 1
  }
}