Pith Number

pith:DODFJF6P

pith:2018:DODFJF6P6FJ7Y6FRGNVFRJQFFS

not attested not anchored not stored refs pending

Affine Killing complete and geodesically complete homogeneous affine surfaces

J. H. Park, P. B. Gilkey, X. Valle-Regueiro

arxiv:1811.05197 v1 · 2018-11-13 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DODFJF6P6FJ7Y6FRGNVFRJQFFS}

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	2026-05-18T00:00:46.645624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b865497cff153fc78b1336a58a6052c89188ed0b45cc23f3d7388eb83950353

Aliases

arxiv: 1811.05197 · arxiv_version: 1811.05197v1 · doi: 10.48550/arxiv.1811.05197 · pith_short_12: DODFJF6P6FJ7 · pith_short_16: DODFJF6P6FJ7Y6FR · pith_short_8: DODFJF6P

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/DODFJF6P6FJ7Y6FRGNVFRJQFFS \
  | 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: 1b865497cff153fc78b1336a58a6052c89188ed0b45cc23f3d7388eb83950353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbfc877aaed78bd6c0f2ea747c4f90844b4eff9b22dec23a74b6f18b487b742b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-13T10:19:51Z",
    "title_canon_sha256": "6aac907d7be1ff45c8983a5fd9a3a70915896a4eef4d142650b9b5da70b9899b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05197",
    "kind": "arxiv",
    "version": 1
  }
}