Pith Number

pith:ZO7FQBTY

pith:2019:ZO7FQBTYY6Q4PQXUQIYDRTQLMP

not attested not anchored not stored refs pending

Existence of nonconstant CR-holomorphic functions of polynomial growth in Sasakian Manifolds

Chien Lin, Nan Li, Shu-Cheng Chang, Yingbo Han

arxiv:1909.06513 v1 · 2019-09-14 · 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{ZO7FQBTYY6Q4PQXUQIYDRTQLMP}

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	2026-07-05T00:04:46.915535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbbe580678c7a1c7c2f4823038ce0b63e67e5ac8937397303a4b44048b7677e0

Aliases

arxiv: 1909.06513 · arxiv_version: 1909.06513v1 · doi: 10.48550/arxiv.1909.06513 · pith_short_12: ZO7FQBTYY6Q4 · pith_short_16: ZO7FQBTYY6Q4PQXU · pith_short_8: ZO7FQBTY

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/ZO7FQBTYY6Q4PQXUQIYDRTQLMP \
  | 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: cbbe580678c7a1c7c2f4823038ce0b63e67e5ac8937397303a4b44048b7677e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89feeb07c7ff1fa9e80e7c463c8c1e7ed380b73142e2eff587e9d137f742389",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-14T02:45:57Z",
    "title_canon_sha256": "aa8c89fda811992adca64add5a582d5f73fc5bd1d83c7ed78e51256b3ca4b3d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.06513",
    "kind": "arxiv",
    "version": 1
  }
}