Pith Number

pith:4P2BXJN4

pith:2025:4P2BXJN4SEGPFAEXZ6SP2M3M7Z

not attested not anchored not stored refs pending

On the mean indices of closed characteristics on dynamically convex star-shaped hypersurfaces in $\mathbb{R}^{2n}$

Wei Wang

arxiv:2506.04546 v1 · 2025-06-05 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4P2BXJN4SEGPFAEXZ6SP2M3M7Z}

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	2026-07-05T11:16:16.390932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f41ba5bc910cf28097cfa4fd336cfe7f2f0dd612b6a38a7e3e4390045f7a62

Aliases

arxiv: 2506.04546 · arxiv_version: 2506.04546v1 · doi: 10.48550/arxiv.2506.04546 · pith_short_12: 4P2BXJN4SEGP · pith_short_16: 4P2BXJN4SEGPFAEX · pith_short_8: 4P2BXJN4

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/4P2BXJN4SEGPFAEXZ6SP2M3M7Z \
  | 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: e3f41ba5bc910cf28097cfa4fd336cfe7f2f0dd612b6a38a7e3e4390045f7a62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70b232734a797c3a8a4fc90f32abc7784aed0e65787b45276d8fe07ca39f7faf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-06-05T01:35:57Z",
    "title_canon_sha256": "76d5a7878ff7a0f727635ceb51353bddc932b0bf5607dcf2043875f5ce43018d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04546",
    "kind": "arxiv",
    "version": 1
  }
}