Pith Number

pith:XGSFM3OX

pith:2015:XGSFM3OXOLAGK2R34ZUONGINAS

not attested not anchored not stored refs pending

On Some Basic Results Related to Affine Functions on Riemmanian Manifolds

Chong Li, Jen-Chih Yao, Xiangmei Wang

arxiv:1509.07264 v2 · 2015-09-24 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGSFM3OXOLAGK2R34ZUONGINAS}

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	2026-05-18T01:31:10.412013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9a4566dd772c0656a3be668e6990d048249c05a560071b063333c62ba8d0a5a

Aliases

arxiv: 1509.07264 · arxiv_version: 1509.07264v2 · doi: 10.48550/arxiv.1509.07264 · pith_short_12: XGSFM3OXOLAG · pith_short_16: XGSFM3OXOLAGK2R3 · pith_short_8: XGSFM3OX

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/XGSFM3OXOLAGK2R34ZUONGINAS \
  | 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: b9a4566dd772c0656a3be668e6990d048249c05a560071b063333c62ba8d0a5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f79fa8a4778ab28af89891418c90cd31d90decdf03db704aa9a8907e263d356a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-24T07:42:22Z",
    "title_canon_sha256": "b3935db6d05066bdf59c9db60d2c83a5899eefa9073780decd6787f531f10f20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07264",
    "kind": "arxiv",
    "version": 2
  }
}