Pith Number

pith:BJJQI5W6

pith:2018:BJJQI5W6T2VCGO6BL4PK2PTLCJ

not attested not anchored not stored refs pending

A new gap for complete hypersurfaces with constant mean curvature in space forms

Hongwei Xu, Juanru Gu, Li Lei

arxiv:1810.13080 v1 · 2018-10-31 · 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{BJJQI5W6T2VCGO6BL4PK2PTLCJ}

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	2026-05-18T00:01:52.319696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a530476de9eaa233bc15f1ead3e6b1260b3035ecd6bb6e8e9eb310a3f935963

Aliases

arxiv: 1810.13080 · arxiv_version: 1810.13080v1 · doi: 10.48550/arxiv.1810.13080 · pith_short_12: BJJQI5W6T2VC · pith_short_16: BJJQI5W6T2VCGO6B · pith_short_8: BJJQI5W6

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/BJJQI5W6T2VCGO6BL4PK2PTLCJ \
  | 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: 0a530476de9eaa233bc15f1ead3e6b1260b3035ecd6bb6e8e9eb310a3f935963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07dd89eba2fe9afe80e1e618d43011afd888d7912b882c8d267b13e5a547ff8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-10-31T02:40:07Z",
    "title_canon_sha256": "589b9d5f65a8a6a00159b127fc169eea46a4587205b5dbc9a2e5db761a4a7382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13080",
    "kind": "arxiv",
    "version": 1
  }
}