Pith Number

pith:CKS6FYP7

pith:2017:CKS6FYP7SYO4XM7GGPJJG4RCM6

not attested not anchored not stored refs pending

Scalar curvature flow on S^n to a prescribed sign-changing function

Hong Zhang

arxiv:1705.09627 v1 · 2017-05-26 · math.AP · 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{CKS6FYP7SYO4XM7GGPJJG4RCM6}

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	2026-05-18T00:43:38.198964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a5e2e1ff961dcbb3e633d293722267a236408d55686a512585a54be7c2a705

Aliases

arxiv: 1705.09627 · arxiv_version: 1705.09627v1 · doi: 10.48550/arxiv.1705.09627 · pith_short_12: CKS6FYP7SYO4 · pith_short_16: CKS6FYP7SYO4XM7G · pith_short_8: CKS6FYP7

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/CKS6FYP7SYO4XM7GGPJJG4RCM6 \
  | 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: 12a5e2e1ff961dcbb3e633d293722267a236408d55686a512585a54be7c2a705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bddebf40c06b2de73eb0cc3b142726bf9c55c4ea04f4c2f0e3960c6fa7d72629",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-26T15:55:49Z",
    "title_canon_sha256": "860285fb9a3d769a011d3fab4baed810435b1d4832910a9ad679c718d0e60f39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09627",
    "kind": "arxiv",
    "version": 1
  }
}