Pith Number

pith:2UISS3JA

pith:2016:2UISS3JA3YV5YXDSHIH22POCWQ

not attested not anchored not stored refs pending

Inverse mean curvature flows in warped product manifolds

Hengyu Zhou

arxiv:1609.09665 v5 · 2016-09-30 · 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{2UISS3JA3YV5YXDSHIH22POCWQ}

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	2026-05-18T00:38:36.334448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d511296d20de2bdc5c723a0fad3dc2b4154f387a13a514525b8ad4b564e25143

Aliases

arxiv: 1609.09665 · arxiv_version: 1609.09665v5 · doi: 10.48550/arxiv.1609.09665 · pith_short_12: 2UISS3JA3YV5 · pith_short_16: 2UISS3JA3YV5YXDS · pith_short_8: 2UISS3JA

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/2UISS3JA3YV5YXDSHIH22POCWQ \
  | 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: d511296d20de2bdc5c723a0fad3dc2b4154f387a13a514525b8ad4b564e25143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce01e3be7258f3d2ba6626291772ead8e51944ff85e797b74d1ba67e90069449",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-30T10:37:47Z",
    "title_canon_sha256": "967b6bd297847f02385abb2c4f1f64c0a662a0fd4540320a2dfa165d18d9ab1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09665",
    "kind": "arxiv",
    "version": 5
  }
}