Pith Number

pith:ZA4GSXFY

pith:2014:ZA4GSXFYNAASCA54CLNDCCGQWK

not attested not anchored not stored refs pending

Real hypersurfaces in complex two-plane Grassmannians with commuting restricted Jacobi operators

Changhwa Woo, Eunmi Pak, Young Jin Suh

arxiv:1409.7177 v1 · 2014-09-25 · 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{ZA4GSXFYNAASCA54CLNDCCGQWK}

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	2026-05-18T02:41:58.981187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c838695cb868012103bc12da3108d0b29b6f18705a5a950e3ea6c6a37d93da39

Aliases

arxiv: 1409.7177 · arxiv_version: 1409.7177v1 · doi: 10.48550/arxiv.1409.7177 · pith_short_12: ZA4GSXFYNAAS · pith_short_16: ZA4GSXFYNAASCA54 · pith_short_8: ZA4GSXFY

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/ZA4GSXFYNAASCA54CLNDCCGQWK \
  | 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: c838695cb868012103bc12da3108d0b29b6f18705a5a950e3ea6c6a37d93da39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f373dd3789d3ff3c97eb7a5a41d79f186956a5b1cf2d65bba23addbb2376294",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-25T08:12:24Z",
    "title_canon_sha256": "2cbd26283e4cc76040b91e3ac4a19eef5554adf38bfb535ffa358b475c735ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7177",
    "kind": "arxiv",
    "version": 1
  }
}