Pith Number

pith:YU6C6KO2

pith:2022:YU6C6KO2QZ3DMIMA5UXSWZSBYR

not attested not anchored not stored refs pending

Symmetric periodic Reeb orbits on the sphere

Hui Liu, Leonardo Macarini, Miguel Abreu

arxiv:2211.16470 v2 · 2022-11-29 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YU6C6KO2QZ3DMIMA5UXSWZSBYR}

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	2026-07-05T08:11:19.039465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c53c2f29da8676362180ed2f2b6641c45f654e58f8ff19bf2c777fcfb33729f4

Aliases

arxiv: 2211.16470 · arxiv_version: 2211.16470v2 · doi: 10.48550/arxiv.2211.16470 · pith_short_12: YU6C6KO2QZ3D · pith_short_16: YU6C6KO2QZ3DMIMA · pith_short_8: YU6C6KO2

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/YU6C6KO2QZ3DMIMA5UXSWZSBYR \
  | 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: c53c2f29da8676362180ed2f2b6641c45f654e58f8ff19bf2c777fcfb33729f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d79ccb9472359b4d1c8ac6378aab919aa4fe100ffcd5626770b8e3580d3f2b23",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2022-11-29T18:44:27Z",
    "title_canon_sha256": "178c2ad9f7ba43c2457f75d9751f9f20c978cf668de0bcf2991f1d9e2122b2a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.16470",
    "kind": "arxiv",
    "version": 2
  }
}