Pith Number

pith:AT7PZGPD

pith:2018:AT7PZGPDEHBKGFNIQSTFQPU6DW

not attested not anchored not stored refs pending

The CR immersion into a sphere with the degenerate CR Gauss map

Wanke Yin, Yuan Yuan, Yuan Zhang

arxiv:1806.08961 v1 · 2018-06-23 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AT7PZGPDEHBKGFNIQSTFQPU6DW}

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	2026-05-18T00:12:30.744394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04fefc99e321c2a315a884a6583e9e1d883eb1f7c88f639f915f5f82aa71d9d7

Aliases

arxiv: 1806.08961 · arxiv_version: 1806.08961v1 · doi: 10.48550/arxiv.1806.08961 · pith_short_12: AT7PZGPDEHBK · pith_short_16: AT7PZGPDEHBKGFNI · pith_short_8: AT7PZGPD

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/AT7PZGPDEHBKGFNIQSTFQPU6DW \
  | 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: 04fefc99e321c2a315a884a6583e9e1d883eb1f7c88f639f915f5f82aa71d9d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e17af50694e0b5034f32a98e4226eb9742385804d5f7b13099f1366e1db0c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-06-23T13:12:11Z",
    "title_canon_sha256": "45756e5649829b045491c9bf1e4465d84c779842e95983cbfa8b668a0f2bf0d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08961",
    "kind": "arxiv",
    "version": 1
  }
}