Pith Number

pith:3RJWNQVA

pith:2010:3RJWNQVAO3WAVJGQIL4XINIU6G

not attested not anchored not stored refs pending

Gauss maps of constant mean curvature surfaces in three-dimensional homogeneous spaces

Joeri Van der Veken, Jun-ichi Inoguchi

arxiv:1009.0171 v2 · 2010-09-01 · 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{3RJWNQVAO3WAVJGQIL4XINIU6G}

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	2026-05-18T04:24:07.208179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5366c2a076ec0aa4d042f9743514f194bf24154451b1c154b63dd74cc9692a

Aliases

arxiv: 1009.0171 · arxiv_version: 1009.0171v2 · doi: 10.48550/arxiv.1009.0171 · pith_short_12: 3RJWNQVAO3WA · pith_short_16: 3RJWNQVAO3WAVJGQ · pith_short_8: 3RJWNQVA

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/3RJWNQVAO3WAVJGQIL4XINIU6G \
  | 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: dc5366c2a076ec0aa4d042f9743514f194bf24154451b1c154b63dd74cc9692a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "107b9c0ec7bd0f7963e301667613c9495802d5cee20a0fd955658c46824b5530",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-01T12:53:41Z",
    "title_canon_sha256": "c817651b7d8d7ddb1ca2807069fd6417c96ab2bd398aeb7ac1b63bc2932374ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0171",
    "kind": "arxiv",
    "version": 2
  }
}