Pith Number

pith:VPTUSIWB

pith:2012:VPTUSIWBQJNX75RCWW6X5UKWW3

not attested not anchored not stored refs pending

Naturally reductive pseudo-Riemannian Lie groups in low dimensions

Francisco Vittone, Gabriela P. Ovando, Viviana del Barco

arxiv:1211.0884 v1 · 2012-11-05 · 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{VPTUSIWBQJNX75RCWW6X5UKWW3}

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	2026-05-18T02:42:06.288065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe74922c1825b7ff622b5bd7ed156b6ee2d0199056da4c60a28c5f8be9aa80a

Aliases

arxiv: 1211.0884 · arxiv_version: 1211.0884v1 · doi: 10.48550/arxiv.1211.0884 · pith_short_12: VPTUSIWBQJNX · pith_short_16: VPTUSIWBQJNX75RC · pith_short_8: VPTUSIWB

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/VPTUSIWBQJNX75RCWW6X5UKWW3 \
  | 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: abe74922c1825b7ff622b5bd7ed156b6ee2d0199056da4c60a28c5f8be9aa80a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bca7576d6af1b999bca68028e3d01bc21deb12bb3c3e74bc14bdbb1e1d3b27b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-05T15:09:28Z",
    "title_canon_sha256": "c4fcc8a9a2224150c991e4e2a5412aa8ad7cec85c8a51634c3412db48b1e07d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0884",
    "kind": "arxiv",
    "version": 1
  }
}