Pith Number

pith:NOXY7DW2

pith:2017:NOXY7DW2ISBDX2ML3QM4YAQM2H

not attested not anchored not stored refs pending

Minimal Surfaces in the Round Three-Sphere by Doubling the Equatorial Two-Sphere, II

Nikolaos Kapouleas, Peter McGrath

arxiv:1707.08526 v1 · 2017-07-26 · 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{NOXY7DW2ISBDX2ML3QM4YAQM2H}

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	2026-05-18T00:39:23.996954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6baf8f8eda44823be98bdc19cc020cd1c595a76baae736414683ae444ebd5313

Aliases

arxiv: 1707.08526 · arxiv_version: 1707.08526v1 · doi: 10.48550/arxiv.1707.08526 · pith_short_12: NOXY7DW2ISBD · pith_short_16: NOXY7DW2ISBDX2ML · pith_short_8: NOXY7DW2

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/NOXY7DW2ISBDX2ML3QM4YAQM2H \
  | 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: 6baf8f8eda44823be98bdc19cc020cd1c595a76baae736414683ae444ebd5313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c005cb1ba313077ade187dfb20396a23cdbd41a8f58f69edef69b9ee88f6c15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-26T16:21:42Z",
    "title_canon_sha256": "b8c0a90b09c68a7b79e3f52fe928aa5108f502a3879e9fb97992e39cc1aee87a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08526",
    "kind": "arxiv",
    "version": 1
  }
}