Pith Number

pith:V3PYRWKF

pith:2018:V3PYRWKFSUEGE3ZC3VAWDTQAOY

not attested not anchored not stored refs pending

Minimal two-spheres with constant curvature in the quaternionic projective space

ChiaKuei Peng, Jie Fei, Xiaowei Xu

arxiv:1806.08483 v1 · 2018-06-22 · 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{V3PYRWKFSUEGE3ZC3VAWDTQAOY}

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	2026-05-18T00:12:37.129564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aedf88d9459508626f22dd4161ce007635cec52c6cc7f6d7341cdb8c0976157f

Aliases

arxiv: 1806.08483 · arxiv_version: 1806.08483v1 · doi: 10.48550/arxiv.1806.08483 · pith_short_12: V3PYRWKFSUEG · pith_short_16: V3PYRWKFSUEGE3ZC · pith_short_8: V3PYRWKF

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/V3PYRWKFSUEGE3ZC3VAWDTQAOY \
  | 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: aedf88d9459508626f22dd4161ce007635cec52c6cc7f6d7341cdb8c0976157f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "379e161436d7eb334687c15d800a80f356155c17042cefecf900936b6a5bf7f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-06-22T03:33:03Z",
    "title_canon_sha256": "28440803e612995501685bf22090b678490fddb57c92c2e6c7f20e35826605ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08483",
    "kind": "arxiv",
    "version": 1
  }
}