Pith Number

pith:ELL356WK

pith:2022:ELL356WK3QGRWEHI73MWCRZ4AU

not attested not anchored not stored refs pending

The growth of the number of periodic orbits for annulus homeomorphisms and non-contractible closed geodesics on Riemannian or Finsler $\mathbb{R}P^2$

Hui Liu, Jian Wang, Jingzhi Yan

arxiv:2211.10913 v1 · 2022-11-20 · 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{ELL356WK3QGRWEHI73MWCRZ4AU}

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	2026-07-05T05:17:36.357512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22d7befacadc0d1b10e8fed961473c050ce36dd35504ecfda2ef1199888125df

Aliases

arxiv: 2211.10913 · arxiv_version: 2211.10913v1 · doi: 10.48550/arxiv.2211.10913 · pith_short_12: ELL356WK3QGR · pith_short_16: ELL356WK3QGRWEHI · pith_short_8: ELL356WK

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/ELL356WK3QGRWEHI73MWCRZ4AU \
  | 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: 22d7befacadc0d1b10e8fed961473c050ce36dd35504ecfda2ef1199888125df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c17d12b3897205f9b1101994f97b3306ab0e2a13d54f757b70285e7b9e7789",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-11-20T09:11:38Z",
    "title_canon_sha256": "ccd018b1750ac666a2bf8e5420af35988768c6f4d3c1b127bd62ecb65ecefcef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.10913",
    "kind": "arxiv",
    "version": 1
  }
}