Pith Number

pith:N4RAX6IX

pith:2014:N4RAX6IXMND6BUGOSCJCPWAV24

not attested not anchored not stored refs pending

Austere Submanifolds in Complex Projective Space

Marianty Ionel, Thomas A. Ivey

arxiv:1402.5334 v3 · 2014-02-21 · 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{N4RAX6IXMND6BUGOSCJCPWAV24}

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	2026-05-18T01:35:17.289251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f220bf9176347e0d0ce909227d815d72083db45777238a938dc08483a987193

Aliases

arxiv: 1402.5334 · arxiv_version: 1402.5334v3 · doi: 10.48550/arxiv.1402.5334 · pith_short_12: N4RAX6IXMND6 · pith_short_16: N4RAX6IXMND6BUGO · pith_short_8: N4RAX6IX

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/N4RAX6IXMND6BUGOSCJCPWAV24 \
  | 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: 6f220bf9176347e0d0ce909227d815d72083db45777238a938dc08483a987193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d491e7c9121706f8e64e4d8c5afebaa1989e9209bd9ee04d5368f64836f5dce5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-02-21T15:57:43Z",
    "title_canon_sha256": "ca0de3444fb7ed823eadce8454b0d119f6d5a12d6312ac924fd959867a2cb099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5334",
    "kind": "arxiv",
    "version": 3
  }
}