Pith Number

pith:BQLFYGKQ

pith:2010:BQLFYGKQCSDUHVLKK5GS7Z6GX5

not attested not anchored not stored refs pending

Chen Rotational Surfaces of Hyperbolic or Elliptic Type in the Four-dimensional Minkowski Space

Georgi Ganchev, Velichka Milousheva

arxiv:1012.0751 v1 · 2010-12-03 · 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{BQLFYGKQCSDUHVLKK5GS7Z6GX5}

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	2026-05-18T04:31:21.007262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c165c1950148743d56a574d2fe7c6bf54547ac28b788cb55764789832e5ab62

Aliases

arxiv: 1012.0751 · arxiv_version: 1012.0751v1 · doi: 10.48550/arxiv.1012.0751 · pith_short_12: BQLFYGKQCSDU · pith_short_16: BQLFYGKQCSDUHVLK · pith_short_8: BQLFYGKQ

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/BQLFYGKQCSDUHVLKK5GS7Z6GX5 \
  | 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: 0c165c1950148743d56a574d2fe7c6bf54547ac28b788cb55764789832e5ab62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4969a2cc1ad71049be5448ee328c9a4b33c7a6101294c0b4e5b25c5a35e5af3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-03T14:40:45Z",
    "title_canon_sha256": "4de15541f68174b4b481f3fba38fbb8ce2f4c3eeff490f5648387185563dee7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0751",
    "kind": "arxiv",
    "version": 1
  }
}