Pith Number

pith:KKVEAZQW

pith:2012:KKVEAZQWZNZFPE2M4XL2TLC6KF

not attested not anchored not stored refs pending

Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line

Heayong Shin, Kotaro Yamada, Masaaki Umehara, Seong-Deog Yang, Shoichi Fujimori, Sung-Eun Koh, Wayne Rossman, Young Wook Kim

arxiv:1211.4912 v3 · 2012-11-21 · 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{KKVEAZQWZNZFPE2M4XL2TLC6KF}

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	2026-05-18T03:18:40.286542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52aa406616cb7257934ce5d7a9ac5e515aee7be597836aea6f42410fcc88a6f9

Aliases

arxiv: 1211.4912 · arxiv_version: 1211.4912v3 · doi: 10.48550/arxiv.1211.4912 · pith_short_12: KKVEAZQWZNZF · pith_short_16: KKVEAZQWZNZFPE2M · pith_short_8: KKVEAZQW

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/KKVEAZQWZNZFPE2M4XL2TLC6KF \
  | 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: 52aa406616cb7257934ce5d7a9ac5e515aee7be597836aea6f42410fcc88a6f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01ee707f65a7531ce665b44974dd809bb98a24bd8d50a632a84193d11e8c7894",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-21T01:44:05Z",
    "title_canon_sha256": "6f1a6f8f60c5cb928cb518629e42a84e6defaf2ee0281fe3431063496dbc86cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4912",
    "kind": "arxiv",
    "version": 3
  }
}