Pith Number

pith:43O3M3WY

pith:2016:43O3M3WYCIAXDY4XE4UYEOK5T4

not attested not anchored not stored refs pending

Lagrangian submanifolds of the nearly K\"ahler $\mathbb{S}^3 \times \mathbb{S}^3$ from minimal surfaces in $\mathbb{S}^3$

Burcu Bektas, Joeri Van der Veken, Luc Vrancken, Marilena Moruz

arxiv:1611.03998 v1 · 2016-11-12 · 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{43O3M3WYCIAXDY4XE4UYEOK5T4}

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	2026-05-18T00:59:17.890189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6ddb66ed8120171e397272982395d9f063477c1f3c0b53e126ec4f84664551e

Aliases

arxiv: 1611.03998 · arxiv_version: 1611.03998v1 · doi: 10.48550/arxiv.1611.03998 · pith_short_12: 43O3M3WYCIAX · pith_short_16: 43O3M3WYCIAXDY4X · pith_short_8: 43O3M3WY

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/43O3M3WYCIAXDY4XE4UYEOK5T4 \
  | 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: e6ddb66ed8120171e397272982395d9f063477c1f3c0b53e126ec4f84664551e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4af416faf4d64b47bcae0d372d2cfc5080b22c6ef44857fc80d5d487ab2f4aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-12T13:33:19Z",
    "title_canon_sha256": "f5ae1fd2ac503e81004e5e31d2fe5ebbba750f8bac099fce1b901f4b55cb9bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03998",
    "kind": "arxiv",
    "version": 1
  }
}