Pith Number

pith:CBV4JDQ6

pith:2017:CBV4JDQ6O6L6PCLPLEMVIVMO2O

not attested not anchored not stored refs pending

Some sharp differential sphere theorems for nonnegative scalar curvature manifolds

Linlin Sun, Qing Cui

arxiv:1708.09618 v2 · 2017-08-31 · 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{CBV4JDQ6O6L6PCLPLEMVIVMO2O}

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	2026-05-18T00:07:23.808691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106bc48e1e7797e7896f591954558ed3bb253f649c4220e0c08ca0cefba4e507

Aliases

arxiv: 1708.09618 · arxiv_version: 1708.09618v2 · doi: 10.48550/arxiv.1708.09618 · pith_short_12: CBV4JDQ6O6L6 · pith_short_16: CBV4JDQ6O6L6PCLP · pith_short_8: CBV4JDQ6

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/CBV4JDQ6O6L6PCLPLEMVIVMO2O \
  | 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: 106bc48e1e7797e7896f591954558ed3bb253f649c4220e0c08ca0cefba4e507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85f28dd21d36de647d0f75b6f4fdcc7ed25d1242d0d58d7969ab1e7ee4cb8d74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-31T08:46:40Z",
    "title_canon_sha256": "c5ba311929c1f79eafdaac89c3692a55ad7ce712c7d5fe1eb67d68617e0c00b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09618",
    "kind": "arxiv",
    "version": 2
  }
}