Pith Number

pith:JU4BFEI3

pith:2025:JU4BFEI3KRIULZTBK5PP4XYCO3

not attested not anchored not stored refs pending

Scalar and Mean Curvature Comparison on Compact Cylinder

Jie Xu

arxiv:2507.07005 v1 · 2025-07-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JU4BFEI3KRIULZTBK5PP4XYCO3}

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

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $

Receipt and verification

First computed	2026-07-05T11:34:27.573982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d3812911b545145e661575efe5f0276fdb597f1f304d44c628a924ee5d9f9a7

Aliases

arxiv: 2507.07005 · arxiv_version: 2507.07005v1 · doi: 10.48550/arxiv.2507.07005 · pith_short_12: JU4BFEI3KRIU · pith_short_16: JU4BFEI3KRIULZTB · pith_short_8: JU4BFEI3

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/JU4BFEI3KRIULZTBK5PP4XYCO3 \
  | 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: 4d3812911b545145e661575efe5f0276fdb597f1f304d44c628a924ee5d9f9a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c25e5749f679895beea639bfb4c098eda84872db889bd4119673a873243ff76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-09T16:35:06Z",
    "title_canon_sha256": "dce8c54b5b428968821c254a1aa2ab9d88dd87a6d0ccdb745a40b6e7e1028083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07005",
    "kind": "arxiv",
    "version": 1
  }
}