Pith Number

pith:6P5WLYXW

pith:2014:6P5WLYXWQ6UZGVSXUHEUMLLT27

not attested not anchored not stored refs pending

Characterizations of Ruled Surfaces in $\mathbb{R}^3$ and of Hyperquadrics in $\mathbb{R}^{n+1}$ via Relative Geometric Invariants

Ioanna-Iris Papadopoulou, Ioannis Kaffas, Stylianos Stamatakis

arxiv:1404.1711 v1 · 2014-04-07 · 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{6P5WLYXWQ6UZGVSXUHEUMLLT27}

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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	2026-05-18T02:54:40.326949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3fb65e2f687a9935657a1c9462d73d7fcb5f47afa4f69320fe2bebf1137a0f5

Aliases

arxiv: 1404.1711 · arxiv_version: 1404.1711v1 · doi: 10.48550/arxiv.1404.1711 · pith_short_12: 6P5WLYXWQ6UZ · pith_short_16: 6P5WLYXWQ6UZGVSX · pith_short_8: 6P5WLYXW

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/6P5WLYXWQ6UZGVSXUHEUMLLT27 \
  | 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: f3fb65e2f687a9935657a1c9462d73d7fcb5f47afa4f69320fe2bebf1137a0f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca660dc502c63a9f0e9730d2d198498de8a69c4f861582707400e698eb865723",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-07T09:44:38Z",
    "title_canon_sha256": "eee9286c8239c31fa4ad9f09217755846b30ceb761aba5bc6dd8d84f53d03607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1711",
    "kind": "arxiv",
    "version": 1
  }
}