Pith Number

pith:WN5MVSC7

pith:2025:WN5MVSC7EULTR7GDTJXZQUHQDV

not attested not anchored not stored refs pending

On finite-energy solutions of Kazan-Warner equations on the lattice graph

Bobo Hua, Huyuan Chen

arxiv:2509.01155 v2 · 2025-09-01 · 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{WN5MVSC7EULTR7GDTJXZQUHQDV}

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	2026-05-22T01:03:45.713298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b37acac85f251738fcc39a6f9850f01d5135e9fbc98bf0829e6e665fb079765d

Aliases

arxiv: 2509.01155 · arxiv_version: 2509.01155v2 · doi: 10.48550/arxiv.2509.01155 · pith_short_12: WN5MVSC7EULT · pith_short_16: WN5MVSC7EULTR7GD · pith_short_8: WN5MVSC7

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/WN5MVSC7EULTR7GDTJXZQUHQDV \
  | 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: b37acac85f251738fcc39a6f9850f01d5135e9fbc98bf0829e6e665fb079765d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a8b3736c5486e83b5b04538c49c6f19a23eb803ab72e4c019417c761b88e74",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-01T06:24:11Z",
    "title_canon_sha256": "8788a609cbe4e8680aa0aaf7894049245a4ede980bdd6bc237860e6728a56b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01155",
    "kind": "arxiv",
    "version": 2
  }
}