Pith Number

pith:VLLB26JJ

pith:2022:VLLB26JJJ7K5T3TJKHQJFD6D5R

not attested not anchored not stored refs pending

Prime geodesic theorem and closed geodesics for large genus

Yuhao Xue, Yunhui Wu

arxiv:2209.10415 v3 · 2022-09-21 · math.GT · math.DG · math.NT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLLB26JJJ7K5T3TJKHQJFD6D5R}

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.

Cited by

1 paper in Pith

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary

Receipt and verification

First computed	2026-07-05T11:15:59.981692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad61d79294fd5d9ee6951e0928fc3ec6033492dc667d05e4a17965e9a2a93f2

Aliases

arxiv: 2209.10415 · arxiv_version: 2209.10415v3 · doi: 10.48550/arxiv.2209.10415 · pith_short_12: VLLB26JJJ7K5 · pith_short_16: VLLB26JJJ7K5T3TJ · pith_short_8: VLLB26JJ

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/VLLB26JJJ7K5T3TJKHQJFD6D5R \
  | 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: aad61d79294fd5d9ee6951e0928fc3ec6033492dc667d05e4a17965e9a2a93f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afdb6d381bd588b8356addcca432f0f1f509950224eb589b7575e047d07d10b0",
    "cross_cats_sorted": [
      "math.DG",
      "math.NT",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-09-21T15:04:07Z",
    "title_canon_sha256": "0635901a9f2fd5fb6baf9e87374ffde0936ddb88043c879897c7d0f51904b1a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.10415",
    "kind": "arxiv",
    "version": 3
  }
}