Pith Number

pith:FE4WFWLP

pith:2012:FE4WFWLPUGLPO7NOX7GKZ4GUKJ

not attested not anchored not stored refs pending

Surfaces of Revolution with Constant Gaussian Curvature in Four-Space

Dang Van Cuong

arxiv:1205.2143 v3 · 2012-05-10 · 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{FE4WFWLPUGLPO7NOX7GKZ4GUKJ}

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	2026-05-18T02:48:53.367748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

293962d96fa196f77daebfccacf0d4525c191643d1df683db3b1d6257f16797e

Aliases

arxiv: 1205.2143 · arxiv_version: 1205.2143v3 · doi: 10.48550/arxiv.1205.2143 · pith_short_12: FE4WFWLPUGLP · pith_short_16: FE4WFWLPUGLPO7NO · pith_short_8: FE4WFWLP

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/FE4WFWLPUGLPO7NOX7GKZ4GUKJ \
  | 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: 293962d96fa196f77daebfccacf0d4525c191643d1df683db3b1d6257f16797e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "003b0c9d9c759863a664edd678214615c7bc2f41749734a5e9a2cce8e9276225",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-10T02:39:51Z",
    "title_canon_sha256": "4f4cb3eecd8ee40925e9f4ac0998685bfbe4a600bb43e3fa2935007c4b5caf12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2143",
    "kind": "arxiv",
    "version": 3
  }
}