Pith Number

pith:VR2MDHMC

pith:2011:VR2MDHMCBWFZCA63RQSDXA4W46

not attested not anchored not stored refs pending

Surfaces in $mathbb{R}^4$ with constant principal angles with respect to a plane

Antonio J. Di Scala, Gabriel Ruiz-Hernandez, Osvaldo Osuna-Castro, Pierre Bayard

arxiv:1105.1791 v1 · 2011-05-09 · 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{VR2MDHMCBWFZCA63RQSDXA4W46}

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	2026-05-18T04:22:31.540911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac74c19d820d8b9103db8c243b8396e793e894c7f010f03972f177cb9adcbc72

Aliases

arxiv: 1105.1791 · arxiv_version: 1105.1791v1 · doi: 10.48550/arxiv.1105.1791 · pith_short_12: VR2MDHMCBWFZ · pith_short_16: VR2MDHMCBWFZCA63 · pith_short_8: VR2MDHMC

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/VR2MDHMCBWFZCA63RQSDXA4W46 \
  | 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: ac74c19d820d8b9103db8c243b8396e793e894c7f010f03972f177cb9adcbc72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a8503afccedf667d18a1e3e7c6191e9f220aee58f4c248f8ec53aa5712cd964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-09T20:32:42Z",
    "title_canon_sha256": "deb49c20b172da203195e7090afed9b154521749510f5faf2a0c736a9a784603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1791",
    "kind": "arxiv",
    "version": 1
  }
}