Pith Number

pith:J3C3XTY3

pith:2024:J3C3XTY3ZGGCZPLK6XR7WUINJ3

not attested not anchored not stored refs pending

Bandwidth and focal radius with positive isotropic curvature

Jingze Zhu, Tsz-Kiu Aaron Chow

arxiv:2405.20129 v1 · 2024-05-30 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3C3XTY3ZGGCZPLK6XR7WUINJ3}

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

Sharp focal radius estimate and rigidity of hypersurfaces in manifolds with positive curvature

Receipt and verification

First computed	2026-07-05T08:25:16.474652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ec5bbcf1bc98c2cbd6af5e3fb510d4eeaf43620f61efe2b5cb495d06df883f1

Aliases

arxiv: 2405.20129 · arxiv_version: 2405.20129v1 · doi: 10.48550/arxiv.2405.20129 · pith_short_12: J3C3XTY3ZGGC · pith_short_16: J3C3XTY3ZGGCZPLK · pith_short_8: J3C3XTY3

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/J3C3XTY3ZGGCZPLK6XR7WUINJ3 \
  | 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: 4ec5bbcf1bc98c2cbd6af5e3fb510d4eeaf43620f61efe2b5cb495d06df883f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "563bbdb3a7f02a704f7b8598c1024b6f937aeeb1d5b8fbeaa7e9b11b1a7debc2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-05-30T15:09:01Z",
    "title_canon_sha256": "1e9f6f7da882e48b6aa7eddb41469a413fa16bdbb9f04bd19032729526659c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.20129",
    "kind": "arxiv",
    "version": 1
  }
}