Pith Number

pith:5UGF55UN

pith:2022:5UGF55UNPV4TEAIXVKOEYB4KVV

not attested not anchored not stored refs pending

Uniqueness for the Nonlocal Liouville Equation in $\mathbb{R}$

Enno Lenzmann, Maria Ahrend

arxiv:2203.15843 v2 · 2022-03-29 · math.AP · math.DG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UGF55UNPV4TEAIXVKOEYB4KVV}

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	2026-07-05T04:12:18.398102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0c5ef68d7d79320117aa9c4c078aad786d1a56eeec8d93e0113af8a18a4538

Aliases

arxiv: 2203.15843 · arxiv_version: 2203.15843v2 · doi: 10.48550/arxiv.2203.15843 · pith_short_12: 5UGF55UNPV4T · pith_short_16: 5UGF55UNPV4TEAIX · pith_short_8: 5UGF55UN

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/5UGF55UNPV4TEAIXVKOEYB4KVV \
  | 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: ed0c5ef68d7d79320117aa9c4c078aad786d1a56eeec8d93e0113af8a18a4538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2205c799035457c3b8231469fef412904d42e7e28e3aa58ef9079e64ae3aeee6",
    "cross_cats_sorted": [
      "math.DG",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-03-29T18:23:55Z",
    "title_canon_sha256": "738cd68f138774fb59f258120bd1183b3dc36ee11b5a15bd879eef2601d1e339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.15843",
    "kind": "arxiv",
    "version": 2
  }
}