Pith Number

pith:CS5R5HZY

pith:2025:CS5R5HZYSKVQZH3WL75DIQ3A7I

not attested not anchored not stored refs pending

Weyl formula improvement for product of Zoll manifolds

Yanfei Wang

arxiv:2506.02299 v1 · 2025-06-02 · 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{CS5R5HZYSKVQZH3WL75DIQ3A7I}

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	2026-07-05T11:14:35.971101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14bb1e9f3892ab0c9f765ffa344360fa29a85c297c158a72251be481d6875d44

Aliases

arxiv: 2506.02299 · arxiv_version: 2506.02299v1 · doi: 10.48550/arxiv.2506.02299 · pith_short_12: CS5R5HZYSKVQ · pith_short_16: CS5R5HZYSKVQZH3W · pith_short_8: CS5R5HZY

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/CS5R5HZYSKVQZH3WL75DIQ3A7I \
  | 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: 14bb1e9f3892ab0c9f765ffa344360fa29a85c297c158a72251be481d6875d44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede545d4d3f34eb527fdf80669065b107e8c7d75528a38332af5bdbf932f2a72",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-02T22:37:13Z",
    "title_canon_sha256": "70147730230b768998c7893b371c9e952f72ee1ce49373a0fbbb7b70f6ecb08d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02299",
    "kind": "arxiv",
    "version": 1
  }
}