Pith Number

pith:IG3PPGHN

pith:2017:IG3PPGHNN5WHYC4RZLLRW4F4GO

not attested not anchored not stored refs pending

Real hypersurfaces in complex Grassmannians of rank two with semi-parallel structure Jacobi operator

Avik De, Changhwa Woo, Tee-How Loo

arxiv:1712.05108 v1 · 2017-12-14 · 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{IG3PPGHNN5WHYC4RZLLRW4F4GO}

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	2026-05-18T00:28:01.005886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41b6f798ed6f6c7c0b91cad71b70bc339390b678adc756ded7c7a9b95ab51ca8

Aliases

arxiv: 1712.05108 · arxiv_version: 1712.05108v1 · doi: 10.48550/arxiv.1712.05108 · pith_short_12: IG3PPGHNN5WH · pith_short_16: IG3PPGHNN5WHYC4R · pith_short_8: IG3PPGHN

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/IG3PPGHNN5WHYC4RZLLRW4F4GO \
  | 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: 41b6f798ed6f6c7c0b91cad71b70bc339390b678adc756ded7c7a9b95ab51ca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4482b83097de4957086fedb22e089c8b6f11de28fbb5037f5066ba9108656450",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-14T07:15:10Z",
    "title_canon_sha256": "61771d559cc0fcc3a6d536a4431b6cb0afe4b0af640714f83ce6294e111cf8f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05108",
    "kind": "arxiv",
    "version": 1
  }
}