Pith Number

pith:OZ6HAQSE

pith:2026:OZ6HAQSEXV7LTOXFODNG76SA5F

not attested not anchored not stored refs pending

Classification of positive entire solutions of the CR Yamabe equation on the Heisenberg group

Jungang Li

arxiv:2608.10642 v1 · 2026-08-11 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZ6HAQSEXV7LTOXFODNG76SA5F}

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	2026-08-12T01:22:55.792057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

767c704244bd7eb9bae570da6ffa40e9587550de92a432e753d8fc7e1280e9c0

Aliases

arxiv: 2608.10642 · arxiv_version: 2608.10642v1 · doi: 10.48550/arxiv.2608.10642 · pith_short_12: OZ6HAQSEXV7L · pith_short_16: OZ6HAQSEXV7LTOXF · pith_short_8: OZ6HAQSE

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/OZ6HAQSEXV7LTOXFODNG76SA5F \
  | 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: 767c704244bd7eb9bae570da6ffa40e9587550de92a432e753d8fc7e1280e9c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60badd1cf70caf06b1c7348672bc37201832ae2b40ece760ba3e693ed0b8452",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-11T08:29:58Z",
    "title_canon_sha256": "a4adf8d3c9c1cfc76ea5f6ae6137bf995268aa9f24e72fafbbf6e58e6ea0efe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10642",
    "kind": "arxiv",
    "version": 1
  }
}