Pith Number

pith:ZOZFMPUE

pith:2017:ZOZFMPUEFO44CWVWO55YKE23HC

not attested not anchored not stored refs pending

Gauss map and the topology of constant mean curvature hypersurfaces of $\mathbb{S}^{7}$ and $\mathbb{CP}^{3}$

Eduardo Longa, Fidelis Bittencourt, Jaime Ripoll, Pedro Fusieger

arxiv:1703.02560 v5 · 2017-03-07 · 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{ZOZFMPUEFO44CWVWO55YKE23HC}

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	2026-05-17T23:48:06.961144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbb2563e842bb9c15ab6777b85135b38b2652a19c43865f1729ba5d569ce33ac

Aliases

arxiv: 1703.02560 · arxiv_version: 1703.02560v5 · doi: 10.48550/arxiv.1703.02560 · pith_short_12: ZOZFMPUEFO44 · pith_short_16: ZOZFMPUEFO44CWVW · pith_short_8: ZOZFMPUE

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/ZOZFMPUEFO44CWVWO55YKE23HC \
  | 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: cbb2563e842bb9c15ab6777b85135b38b2652a19c43865f1729ba5d569ce33ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d2fbe41f4221296b2e6a525abd6ecbf3b85a89fb5df4652da4aca02f0ee5f95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-03-07T19:12:34Z",
    "title_canon_sha256": "0dc6d4fa1cb09493e14f031723e9f5d50fc147a4bd760c11ff3a6173c12e26b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02560",
    "kind": "arxiv",
    "version": 5
  }
}