Pith Number

pith:CGSWCELL

pith:2022:CGSWCELL5CA5NA26MPXS4PUCJN

not attested not anchored not stored refs pending

Equidistributed Closed Geodesics on Closed Finsler and Riemannian Surfaces

Hui Liu, Lei Liu

arxiv:2206.15152 v3 · 2022-06-30 · math.DG · math.DS · 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{CGSWCELL5CA5NA26MPXS4PUCJN}

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	2026-07-05T11:32:11.901508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a561116be881d6835e63ef2e3e824b6d970ab3666e8acde6a671ef35c89998

Aliases

arxiv: 2206.15152 · arxiv_version: 2206.15152v3 · doi: 10.48550/arxiv.2206.15152 · pith_short_12: CGSWCELL5CA5 · pith_short_16: CGSWCELL5CA5NA26 · pith_short_8: CGSWCELL

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/CGSWCELL5CA5NA26MPXS4PUCJN \
  | 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: 11a561116be881d6835e63ef2e3e824b6d970ab3666e8acde6a671ef35c89998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7244294b84254031fb970aa3ec2849684a64eb8260b9c859f4c373e87cf5b7d",
    "cross_cats_sorted": [
      "math.DS",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-06-30T09:35:25Z",
    "title_canon_sha256": "07e595d59f835473cd85d0f934dfaf08d516967c360bf67421982674fcdd2d7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.15152",
    "kind": "arxiv",
    "version": 3
  }
}