Pith Number

pith:5KONFYGO

pith:2023:5KONFYGO52PLUMSY5JQJBOIQNR

not attested not anchored not stored refs pending

Liouville-type results for the CR Yamabe equation in the Heisenberg group

J\'er\^ome V\'etois, Joshua Flynn

arxiv:2310.14048 v2 · 2023-10-21 · math.AP · math.DG

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\usepackage{pith}
\pithnumber{5KONFYGO52PLUMSY5JQJBOIQNR}

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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.

Cited by

2 papers in Pith

Quasilinear Liouville equation on manifolds with nonnegative Ricci curvature

Compactness of Solutions to Sub-Elliptic Equations with Potential on the Heisenberg Group

Receipt and verification

First computed	2026-07-05T07:13:45.205112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9cd2e0ceee9eba3258ea6090b9106c405cda257d73a179af19dc026503c7ff

Aliases

arxiv: 2310.14048 · arxiv_version: 2310.14048v2 · doi: 10.48550/arxiv.2310.14048 · pith_short_12: 5KONFYGO52PL · pith_short_16: 5KONFYGO52PLUMSY · pith_short_8: 5KONFYGO

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/5KONFYGO52PLUMSY5JQJBOIQNR \
  | 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: ea9cd2e0ceee9eba3258ea6090b9106c405cda257d73a179af19dc026503c7ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e4d75e2a3a0d98fe82dada9c6c8807614224c9afca0cfcede8b4ad78fc55ffa",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-10-21T16:07:30Z",
    "title_canon_sha256": "fd19f8288e0296c4046cc89aa16972c4c816e6231a94a9935fddc2dbf9612b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.14048",
    "kind": "arxiv",
    "version": 2
  }
}