Pith Number

pith:MPNFGZ7P

pith:2011:MPNFGZ7PFC2P2RWY2GI4GEBY5G

not attested not anchored not stored refs pending

On the classification of the real vector subspaces of a quaternionic vector space

Radu Pantilie

arxiv:1109.6467 v3 · 2011-09-29 · 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{MPNFGZ7PFC2P2RWY2GI4GEBY5G}

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	2026-05-18T04:11:51.034588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63da5367ef28b4fd46d8d191c31038e99a688d31b9cecbfff85c1d65f4e80572

Aliases

arxiv: 1109.6467 · arxiv_version: 1109.6467v3 · doi: 10.48550/arxiv.1109.6467 · pith_short_12: MPNFGZ7PFC2P · pith_short_16: MPNFGZ7PFC2P2RWY · pith_short_8: MPNFGZ7P

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/MPNFGZ7PFC2P2RWY2GI4GEBY5G \
  | 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: 63da5367ef28b4fd46d8d191c31038e99a688d31b9cecbfff85c1d65f4e80572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c96f272dc0587be1411716fa2deaa96d60311c33a59ef3532c693e10707e92d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-29T10:36:33Z",
    "title_canon_sha256": "9f4bd02fc5ab87aaddebcdf4c0731ff31c91228156a978f6e69d2e5ed93bbeb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6467",
    "kind": "arxiv",
    "version": 3
  }
}