Pith Number

pith:P7FZ26PW

pith:2011:P7FZ26PWTQCSV4D5VDKSGPCVRD

not attested not anchored not stored refs pending

$LS_{\lowercase {r}}$-valued Gauss maps and spacelike surfaces of revolution in $\mathbb R_1^4$

Dang Van Cuong

arxiv:1105.5690 v3 · 2011-05-28 · 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{P7FZ26PWTQCSV4D5VDKSGPCVRD}

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	2026-05-18T04:11:28.590574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fcb9d79f69c052af07da8d5233c5588fe326fe1ff6ac212044133af1d01c3a1

Aliases

arxiv: 1105.5690 · arxiv_version: 1105.5690v3 · doi: 10.48550/arxiv.1105.5690 · pith_short_12: P7FZ26PWTQCS · pith_short_16: P7FZ26PWTQCSV4D5 · pith_short_8: P7FZ26PW

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/P7FZ26PWTQCSV4D5VDKSGPCVRD \
  | 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: 7fcb9d79f69c052af07da8d5233c5588fe326fe1ff6ac212044133af1d01c3a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de45352bd4d563a9fdab44bb6496471c80e1530a91d96e5fc2cc0e95eaf3facc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-28T08:07:29Z",
    "title_canon_sha256": "d6c74e6a4598b2c6caf75c8b514854a49c8350b4831573830fa8ea5626273c69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5690",
    "kind": "arxiv",
    "version": 3
  }
}